61556400 has 90 divisors (see below), whose sum is σ = 213630300. Its totient is φ = 16414080.

The previous prime is 61556399. The next prime is 61556431. The reversal of 61556400 is 465516.

It is a happy number.

61556400 is a `hidden beast` number, since 6 + 15 + 5 + 640 + 0 = 666.

61556400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4950 + ... + 12149.

It is an arithmetic number, because the mean of its divisors is an integer number (2373670).

Almost surely, 2^61556400 is an apocalyptic number.

61556400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61556400 is an abundant number, since it is smaller than the sum of its proper divisors (152073900).

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

61556400 is a wasteful number, since it uses less digits than its factorization.

61556400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17123 (or 17109 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 61556400 is about 7845.7886792852. The cubic root of 61556400 is about 394.8429648704.

The spelling of 61556400 in words is "sixty-one million, five hundred fifty-six thousand, four hundred".