634636560 has 80 divisors (see below), whose sum is σ = 1986551424. Its totient is φ = 167586816.

The previous prime is 634636549. The next prime is 634636591. The reversal of 634636560 is 65636436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11884 + ... + 37556.

Almost surely, 2^634636560 is an apocalyptic number.

634636560 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 634636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993275712).

634636560 is an abundant number, since it is smaller than the sum of its proper divisors (1351914864).

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

634636560 is a wasteful number, since it uses less digits than its factorization.

634636560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25792 (or 25786 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The square root of 634636560 is about 25191.9939663378. The cubic root of 634636560 is about 859.3597903380.

The spelling of 634636560 in words is "six hundred thirty-four million, six hundred thirty-six thousand, five hundred sixty".