631664000 has 256 divisors, whose sum is σ = 1777688640. Its totient is φ = 221184000.

The previous prime is 631663997. The next prime is 631664003. The reversal of 631664000 is 466136.

It is an interprime number because it is at equal distance from previous prime (631663997) and next prime (631664003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631664003) 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 31 ways as a sum of consecutive naturals, for example, 6511952 + ... + 6512048.

Almost surely, 2^631664000 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 631664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888844320).

631664000 is an abundant number, since it is smaller than the sum of its proper divisors (1146024640).

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

631664000 is a wasteful number, since it uses less digits than its factorization.

631664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 631664000 is about 25132.9266103253. The cubic root of 631664000 is about 858.0159780261.

The spelling of 631664000 in words is "six hundred thirty-one million, six hundred sixty-four thousand".