61604928 has 224 divisors, whose sum is σ = 226283520. Its totient is φ = 15966720.

The previous prime is 61604899. The next prime is 61604941. The reversal of 61604928 is 82940616.

61604928 is a `hidden beast` number, since 6 + 160 + 492 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61604892 and 61604901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132825 + ... + 133287.

Almost surely, 2^61604928 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 61604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113141760).

61604928 is an abundant number, since it is smaller than the sum of its proper divisors (164678592).

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

61604928 is a wasteful number, since it uses less digits than its factorization.

61604928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 61604928 is about 7848.8806845308. The cubic root of 61604928 is about 394.9466957927.

The spelling of 61604928 in words is "sixty-one million, six hundred four thousand, nine hundred twenty-eight".