904986720 has 576 divisors, whose sum is σ = 3698472960. Its totient is φ = 199065600.

The previous prime is 904986707. The next prime is 904986749. The reversal of 904986720 is 27689409.

It is a happy number.

904986720 is a `hidden beast` number, since 90 + 498 + 6 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9329712 + ... + 9329808.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^904986720 is an apocalyptic number.

904986720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

904986720 is an abundant number, since it is smaller than the sum of its proper divisors (2793486240).

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

904986720 is a wasteful number, since it uses less digits than its factorization.

904986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 904986720 is about 30082.9971911045. The cubic root of 904986720 is about 967.2692957923.

The spelling of 904986720 in words is "nine hundred four million, nine hundred eighty-six thousand, seven hundred twenty".