632623080 has 64 divisors (see below), whose sum is σ = 1904045760. Its totient is φ = 168150528.

The previous prime is 632623067. The next prime is 632623087. The reversal of 632623080 is 80326236.

632623080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×632623080² = 800423922697372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (632623087) 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, 29139 + ... + 45981.

It is an arithmetic number, because the mean of its divisors is an integer number (29750715).

Almost surely, 2^632623080 is an apocalyptic number.

632623080 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 632623080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952022880).

632623080 is an abundant number, since it is smaller than the sum of its proper divisors (1271422680).

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

632623080 is a wasteful number, since it uses less digits than its factorization.

632623080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17170 (or 17166 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 632623080 is about 25151.9995229008. Note that the first 3 decimals coincide. The cubic root of 632623080 is about 858.4500114320.

The spelling of 632623080 in words is "six hundred thirty-two million, six hundred twenty-three thousand, eighty".