63633640 has 128 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 20275200.

The previous prime is 63633613. The next prime is 63633659. The reversal of 63633640 is 4633636.

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 31 ways as a sum of consecutive naturals, for example, 263920 + ... + 264160.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^63633640 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 63633640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

63633640 is an abundant number, since it is smaller than the sum of its proper divisors (112000280).

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

63633640 is a wasteful number, since it uses less digits than its factorization.

63633640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

The square root of 63633640 is about 7977.0696374045. The cubic root of 63633640 is about 399.2352889743.

The spelling of 63633640 in words is "sixty-three million, six hundred thirty-three thousand, six hundred forty".