61487200 has 72 divisors (see below), whose sum is σ = 151396560. Its totient is φ = 24384000.

The previous prime is 61487191. The next prime is 61487269. The reversal of 61487200 is 278416.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 120546 + ... + 121054.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^61487200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75698280).

61487200 is an abundant number, since it is smaller than the sum of its proper divisors (89909360).

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

61487200 is a wasteful number, since it uses less digits than its factorization.

61487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 61487200 is about 7841.3774300183. The cubic root of 61487200 is about 394.6949522175.

It can be divided in two parts, 6 and 1487200, that multiplied together give a triangular number (8923200 = T₄₂₂₄).

The spelling of 61487200 in words is "sixty-one million, four hundred eighty-seven thousand, two hundred".