632617680 has 40 divisors (see below), whose sum is σ = 1961115552. Its totient is φ = 168697984.

The previous prime is 632617649. The next prime is 632617703. The reversal of 632617680 is 86716236.

632617680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317714 + ... + 1318193.

Almost surely, 2^632617680 is an apocalyptic number.

632617680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

632617680 is an abundant number, since it is smaller than the sum of its proper divisors (1328497872).

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

632617680 is a wasteful number, since it uses less digits than its factorization.

632617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635923 (or 2635917 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 632617680 is about 25151.8921753414. The cubic root of 632617680 is about 858.4475688805.

The spelling of 632617680 in words is "six hundred thirty-two million, six hundred seventeen thousand, six hundred eighty".