631522080 has 576 divisors, whose sum is σ = 2656862208. Its totient is φ = 133539840.

The previous prime is 631522079. The next prime is 631522093. The reversal of 631522080 is 80225136.

631522080 is a `hidden beast` number, since 63 + 1 + 522 + 0 + 80 = 666.

631522080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13436617 + ... + 13436663.

It is an arithmetic number, because the mean of its divisors is an integer number (4612608).

Almost surely, 2^631522080 is an apocalyptic number.

631522080 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 631522080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328431104).

631522080 is an abundant number, since it is smaller than the sum of its proper divisors (2025340128).

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

631522080 is a wasteful number, since it uses less digits than its factorization.

631522080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 631522080 is about 25130.1030638555. The cubic root of 631522080 is about 857.9517145631.

The spelling of 631522080 in words is "six hundred thirty-one million, five hundred twenty-two thousand, eighty".