61600500 has 252 divisors, whose sum is σ = 218420748. Its totient is φ = 15163200.

The previous prime is 61600499. The next prime is 61600501. The reversal of 61600500 is 500616.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61600500 is a `hidden beast` number, since 6 + 160 + 0 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (61600499) and next prime (61600501).

It can be written as a sum of positive squares in 6 ways, for example, as 43401744 + 18198756 = 6588^2 + 4266^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61600501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4738494 + ... + 4738506.

It is an arithmetic number, because the mean of its divisors is an integer number (866749).

Almost surely, 2^61600500 is an apocalyptic number.

61600500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109210374).

61600500 is an abundant number, since it is smaller than the sum of its proper divisors (156820248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61600500 is a wasteful number, since it uses less digits than its factorization.

61600500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 61600500 is about 7848.5986010243. The cubic root of 61600500 is about 394.9372329898.

Multiplying 61600500 by its product of nonzero digits (180), we get a square (11088090000 = 105300²).

61600500 divided by its product of nonzero digits (180) gives a square (342225 = 585²).

The spelling of 61600500 in words is "sixty-one million, six hundred thousand, five hundred".