906564 has 24 divisors (see below), whose sum is σ = 2184448. Its totient is φ = 292320.

The previous prime is 906557. The next prime is 906589. The reversal of 906564 is 465609.

906564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906564.

It is an unprimeable number.

906564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 847 + ... + 1590.

2⁹⁰⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

906564 is an abundant number, since it is smaller than the sum of its proper divisors (1277884).

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

906564 is a wasteful number, since it uses less digits than its factorization.

906564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2473 counting only the distinct ones).

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

The square root of 906564 is about 952.1365448296. The cubic root of 906564 is about 96.7830913252.

The spelling of 906564 in words is "nine hundred six thousand, five hundred sixty-four".