631628712 has 256 divisors, whose sum is σ = 2090592000. Its totient is φ = 176679360.

The previous prime is 631628707. The next prime is 631628717. The reversal of 631628712 is 217826136.

The cubic root of 631628712 is 858.

It is a perfect power (a cube), and thus also a powerful number.

631628712 is a `hidden beast` number, since 631 + 6 + 2 + 8 + 7 + 12 = 666.

631628712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (631628707) and next prime (631628717).

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

It is not an unprimeable number, because it can be changed into a prime (631628717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48586818 + ... + 48586830.

It is an arithmetic number, because the mean of its divisors is an integer number (8166375).

Almost surely, 2^631628712 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 631628712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045296000).

631628712 is an abundant number, since it is smaller than the sum of its proper divisors (1458963288).

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

631628712 is a wasteful number, since it uses less digits than its factorization.

631628712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 29 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 631628712 is about 25132.2245732446.

The spelling of 631628712 in words is "six hundred thirty-one million, six hundred twenty-eight thousand, seven hundred twelve".