904536648 has 96 divisors (see below), whose sum is σ = 2638864800. Its totient is φ = 278982144.

The previous prime is 904536623. The next prime is 904536673. The reversal of 904536648 is 846635409.

It is an interprime number because it is at equal distance from previous prime (904536623) and next prime (904536673).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51136 + ... + 66512.

It is an arithmetic number, because the mean of its divisors is an integer number (27488175).

Almost surely, 2^904536648 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 904536648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319432400).

904536648 is an abundant number, since it is smaller than the sum of its proper divisors (1734328152).

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

904536648 is a wasteful number, since it uses less digits than its factorization.

904536648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 904536648 is about 30075.5157561762. The cubic root of 904536648 is about 967.1089203211.

The spelling of 904536648 in words is "nine hundred four million, five hundred thirty-six thousand, six hundred forty-eight".