906536904 has 128 divisors (see below), whose sum is σ = 2910781440. Its totient is φ = 228678912.

The previous prime is 906536863. The next prime is 906536909. The reversal of 906536904 is 409635609.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (906536909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41209 + ... + 59255.

It is an arithmetic number, because the mean of its divisors is an integer number (22740480).

Almost surely, 2^906536904 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 906536904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455390720).

906536904 is an abundant number, since it is smaller than the sum of its proper divisors (2004244536).

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

906536904 is a wasteful number, since it uses less digits than its factorization.

906536904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18099 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 906536904 is about 30108.7512859634. The cubic root of 906536904 is about 967.8212707607.

The spelling of 906536904 in words is "nine hundred six million, five hundred thirty-six thousand, nine hundred four".