904655664 has 120 divisors (see below), whose sum is σ = 2907403200. Its totient is φ = 259701120.

The previous prime is 904655651. The next prime is 904655669. The reversal of 904655664 is 466556409.

904655664 is a `hidden beast` number, since 90 + 4 + 6 + 556 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (904655669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15067 + ... + 45125.

It is an arithmetic number, because the mean of its divisors is an integer number (24228360).

Almost surely, 2^904655664 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 904655664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453701600).

904655664 is an abundant number, since it is smaller than the sum of its proper divisors (2002747536).

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

904655664 is a wasteful number, since it uses less digits than its factorization.

904655664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30103 (or 30094 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 904655664 is about 30077.4943105306. The cubic root of 904655664 is about 967.1513348131.

The spelling of 904655664 in words is "nine hundred four million, six hundred fifty-five thousand, six hundred sixty-four".