632275920 has 120 divisors (see below), whose sum is σ = 2235199200. Its totient is φ = 159729408.

The previous prime is 632275879. The next prime is 632275927. The reversal of 632275920 is 29572236.

632275920 is a `hidden beast` number, since 63 + 2 + 2 + 7 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632275927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9430 + ... + 36789.

It is an arithmetic number, because the mean of its divisors is an integer number (18626660).

Almost surely, 2^632275920 is an apocalyptic number.

632275920 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 632275920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117599600).

632275920 is an abundant number, since it is smaller than the sum of its proper divisors (1602923280).

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

632275920 is a wasteful number, since it uses less digits than its factorization.

632275920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46257 (or 46248 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 632275920 is about 25145.0973352660. The cubic root of 632275920 is about 858.2929542278.

The spelling of 632275920 in words is "six hundred thirty-two million, two hundred seventy-five thousand, nine hundred twenty".