632506560 has 224 divisors, whose sum is σ = 2334231552. Its totient is φ = 142110720.

The previous prime is 632506543. The next prime is 632506571. The reversal of 632506560 is 65605236.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409149 + ... + 410691.

Almost surely, 2^632506560 is an apocalyptic number.

632506560 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 632506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167115776).

632506560 is an abundant number, since it is smaller than the sum of its proper divisors (1701724992).

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

632506560 is a wasteful number, since it uses less digits than its factorization.

632506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 632506560 is about 25149.6830993951. The cubic root of 632506560 is about 858.3973035135.

The spelling of 632506560 in words is "six hundred thirty-two million, five hundred six thousand, five hundred sixty".