631904000 has 432 divisors, whose sum is σ = 2035627776. Its totient is φ = 193536000.

The previous prime is 631903967. The next prime is 631904011. The reversal of 631904000 is 409136.

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 47 ways as a sum of consecutive naturals, for example, 20383985 + ... + 20384015.

Almost surely, 2^631904000 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 631904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017813888).

631904000 is an abundant number, since it is smaller than the sum of its proper divisors (1403723776).

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

631904000 is a wasteful number, since it uses less digits than its factorization.

631904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 631904000 is about 25137.7007699591. The cubic root of 631904000 is about 858.1246316563.

The spelling of 631904000 in words is "six hundred thirty-one million, nine hundred four thousand".