631552032 has 192 divisors, whose sum is σ = 1957374720. Its totient is φ = 197683200.

The previous prime is 631552027. The next prime is 631552043. The reversal of 631552032 is 230255136.

631552032 is a `hidden beast` number, since 631 + 5 + 5 + 20 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 631551987 and 631552005.

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, 1211932 + ... + 1212452.

It is an arithmetic number, because the mean of its divisors is an integer number (10194660).

Almost surely, 2^631552032 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 631552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978687360).

631552032 is an abundant number, since it is smaller than the sum of its proper divisors (1325822688).

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

631552032 is a wasteful number, since it uses less digits than its factorization.

631552032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 631552032 is about 25130.6989954518. The cubic root of 631552032 is about 857.9652780706.

The spelling of 631552032 in words is "six hundred thirty-one million, five hundred fifty-two thousand, thirty-two".