61387200 has 504 divisors, whose sum is σ = 269290800. Its totient is φ = 13547520.

The previous prime is 61387177. The next prime is 61387201. The reversal of 61387200 is 278316.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61387201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116786 + ... + 2116814.

Almost surely, 2^61387200 is an apocalyptic number.

61387200 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 61387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134645400).

61387200 is an abundant number, since it is smaller than the sum of its proper divisors (207903600).

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

61387200 is a wasteful number, since it uses less digits than its factorization.

61387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61387200 is about 7834.9984045946. The cubic root of 61387200 is about 394.4808647776.

The spelling of 61387200 in words is "sixty-one million, three hundred eighty-seven thousand, two hundred".