631729152 has 176 divisors, whose sum is σ = 1902563680. Its totient is φ = 207028224.

The previous prime is 631729141. The next prime is 631729169. The reversal of 631729152 is 251927136.

631729152 is a `hidden beast` number, since 6 + 317 + 291 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018148 + ... + 2018460.

Almost surely, 2^631729152 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 631729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951281840).

631729152 is an abundant number, since it is smaller than the sum of its proper divisors (1270834528).

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

631729152 is a wasteful number, since it uses less digits than its factorization.

631729152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 631729152 is about 25134.2227252008. Note that the first 3 decimals coincide. The cubic root of 631729152 is about 858.0454765861.

The spelling of 631729152 in words is "six hundred thirty-one million, seven hundred twenty-nine thousand, one hundred fifty-two".