906738624 has 140 divisors (see below), whose sum is σ = 2932392408. Its totient is φ = 274752000.

The previous prime is 906738619. The next prime is 906738661. The reversal of 906738624 is 426837609.

906738624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 906738624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49074 + ... + 64974.

Almost surely, 2^906738624 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 906738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466196204).

906738624 is an abundant number, since it is smaller than the sum of its proper divisors (2025653784).

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

906738624 is a wasteful number, since it uses less digits than its factorization.

906738624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15936 (or 15917 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 906738624 is about 30112.1009562601. The cubic root of 906738624 is about 967.8930510442.

The spelling of 906738624 in words is "nine hundred six million, seven hundred thirty-eight thousand, six hundred twenty-four".