632581920 has 192 divisors, whose sum is σ = 2233405440. Its totient is φ = 167215104.

The previous prime is 632581909. The next prime is 632581969. The reversal of 632581920 is 29185236.

632581920 is a `hidden beast` number, since 632 + 5 + 8 + 19 + 2 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 548064 + ... + 549216.

It is an arithmetic number, because the mean of its divisors is an integer number (11632320).

Almost surely, 2^632581920 is an apocalyptic number.

632581920 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 632581920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116702720).

632581920 is an abundant number, since it is smaller than the sum of its proper divisors (1600823520).

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

632581920 is a wasteful number, since it uses less digits than its factorization.

632581920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 632581920 is about 25151.1812843850. The cubic root of 632581920 is about 858.4313934113.

The spelling of 632581920 in words is "six hundred thirty-two million, five hundred eighty-one thousand, nine hundred twenty".