631672000 has 112 divisors (see below), whose sum is σ = 1632825792. Its totient is φ = 241612800.

The previous prime is 631671979. The next prime is 631672001. The reversal of 631672000 is 276136.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (631672001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182284 + ... + 185716.

Almost surely, 2^631672000 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 631672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816412896).

631672000 is an abundant number, since it is smaller than the sum of its proper divisors (1001153792).

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

631672000 is a wasteful number, since it uses less digits than its factorization.

631672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 631672000 is about 25133.0857635906. The cubic root of 631672000 is about 858.0196002572.

The spelling of 631672000 in words is "six hundred thirty-one million, six hundred seventy-two thousand".