632881920 has 144 divisors (see below), whose sum is σ = 2205165312. Its totient is φ = 153415680.

The previous prime is 632881919. The next prime is 632881927. The reversal of 632881920 is 29188236.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (632881927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34749 + ... + 49731.

It is an arithmetic number, because the mean of its divisors is an integer number (15313648).

Almost surely, 2^632881920 is an apocalyptic number.

632881920 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 632881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102582656).

632881920 is an abundant number, since it is smaller than the sum of its proper divisors (1572283392).

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

632881920 is a wasteful number, since it uses less digits than its factorization.

632881920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15018 (or 15004 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 632881920 is about 25157.1445120467. The cubic root of 632881920 is about 858.5670747672.

The spelling of 632881920 in words is "six hundred thirty-two million, eight hundred eighty-one thousand, nine hundred twenty".