63632560 has 40 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 25224192.

The previous prime is 63632557. The next prime is 63632573. The reversal of 63632560 is 6523636.

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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, 5521 + ... + 12559.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 2^63632560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74638080).

63632560 is an abundant number, since it is smaller than the sum of its proper divisors (85643600).

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

63632560 is a wasteful number, since it uses less digits than its factorization.

63632560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7165 (or 7159 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 63632560 is about 7977.0019430861. The cubic root of 63632560 is about 399.2330303338.

Subtracting from 63632560 its sum of digits (31), we obtain a square (63632529 = 7977²).

The spelling of 63632560 in words is "sixty-three million, six hundred thirty-two thousand, five hundred sixty".