904603680 has 384 divisors, whose sum is σ = 3396556800. Its totient is φ = 224197632.

The previous prime is 904603673. The next prime is 904603681. The reversal of 904603680 is 86306409.

904603680 is a `hidden beast` number, since 90 + 460 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (904603681) 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 63 ways as a sum of consecutive naturals, for example, 8454187 + ... + 8454293.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^904603680 is an apocalyptic number.

904603680 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 904603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698278400).

904603680 is an abundant number, since it is smaller than the sum of its proper divisors (2491953120).

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

904603680 is a wasteful number, since it uses less digits than its factorization.

904603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 904603680 is about 30076.6301303853. The cubic root of 904603680 is about 967.1328094006.

The spelling of 904603680 in words is "nine hundred four million, six hundred three thousand, six hundred eighty".