61566400 has 168 divisors, whose sum is σ = 181416960. Its totient is φ = 20106240.

The previous prime is 61566397. The next prime is 61566413. The reversal of 61566400 is 466516.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257481 + ... + 257719.

Almost surely, 2^61566400 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 61566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

61566400 is an abundant number, since it is smaller than the sum of its proper divisors (119850560).

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

61566400 is a wasteful number, since it uses less digits than its factorization.

61566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 61566400 is about 7846.4259379669. The cubic root of 61566400 is about 394.8643448074.

The spelling of 61566400 in words is "sixty-one million, five hundred sixty-six thousand, four hundred".