63633960 has 96 divisors (see below), whose sum is σ = 222735240. Its totient is φ = 15662592.

The previous prime is 63633959. The next prime is 63633991. The reversal of 63633960 is 6933636.

It can be written as a sum of positive squares in 4 ways, for example, as 24621444 + 39012516 = 4962^2 + 6246^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119 + ... + 11478.

Almost surely, 2^63633960 is an apocalyptic number.

63633960 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 63633960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111367620).

63633960 is an abundant number, since it is smaller than the sum of its proper divisors (159101280).

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

63633960 is a wasteful number, since it uses less digits than its factorization.

63633960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13627 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 63633960 is about 7977.0896948699. The cubic root of 63633960 is about 399.2359581962.

It can be divided in two parts, 636 and 33960, that added together give a square (34596 = 186²).

The spelling of 63633960 in words is "sixty-three million, six hundred thirty-three thousand, nine hundred sixty".