631868160 has 288 divisors, whose sum is σ = 2517161472. Its totient is φ = 131235840.

The previous prime is 631868137. The next prime is 631868201. The reversal of 631868160 is 61868136.

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 31 ways as a sum of consecutive naturals, for example, 294612 + ... + 296748.

It is an arithmetic number, because the mean of its divisors is an integer number (8740144).

Almost surely, 2^631868160 is an apocalyptic number.

631868160 is a gapful number since it is divisible by the number (60) 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 631868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258580736).

631868160 is an abundant number, since it is smaller than the sum of its proper divisors (1885293312).

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

631868160 is a wasteful number, since it uses less digits than its factorization.

631868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 631868160 is about 25136.9878863797. The cubic root of 631868160 is about 858.1084077952.

The spelling of 631868160 in words is "six hundred thirty-one million, eight hundred sixty-eight thousand, one hundred sixty".