906624 has 48 divisors (see below), whose sum is σ = 2612220. Its totient is φ = 301824.

The previous prime is 906617. The next prime is 906641. The reversal of 906624 is 426609.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 759 + ... + 1545.

2⁹⁰⁶⁶²⁴ 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 906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306110).

906624 is an abundant number, since it is smaller than the sum of its proper divisors (1705596).

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

906624 is a wasteful number, since it uses less digits than its factorization.

906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 906624 is about 952.1680523941. The cubic root of 906624 is about 96.7852264411.

The spelling of 906624 in words is "nine hundred six thousand, six hundred twenty-four".