905664 has 56 divisors (see below), whose sum is σ = 2468880. Its totient is φ = 292864.

The previous prime is 905659. The next prime is 905677. The reversal of 905664 is 466509.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 905664.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10132 + ... + 10220.

2⁹⁰⁵⁶⁶⁴ 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 905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234440).

905664 is an abundant number, since it is smaller than the sum of its proper divisors (1563216).

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

905664 is a wasteful number, since it uses less digits than its factorization.

905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 905664 is about 951.6638061837. The cubic root of 905664 is about 96.7510532773.

The spelling of 905664 in words is "nine hundred five thousand, six hundred sixty-four".