631667160 has 320 divisors, whose sum is σ = 2313907200. Its totient is φ = 153964800.

The previous prime is 631667149. The next prime is 631667161. The reversal of 631667160 is 61766136.

631667160 is a `hidden beast` number, since 631 + 6 + 6 + 7 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631667161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1908195 + ... + 1908525.

It is an arithmetic number, because the mean of its divisors is an integer number (7230960).

Almost surely, 2^631667160 is an apocalyptic number.

631667160 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 631667160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156953600).

631667160 is an abundant number, since it is smaller than the sum of its proper divisors (1682240040).

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

631667160 is a wasteful number, since it uses less digits than its factorization.

631667160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 631667160 is about 25132.9894759855. The cubic root of 631667160 is about 858.0174088110.

The spelling of 631667160 in words is "six hundred thirty-one million, six hundred sixty-seven thousand, one hundred sixty".