63888 has 40 divisors (see below), whose sum is σ = 181536. Its totient is φ = 19360.

The previous prime is 63863. The next prime is 63901. The reversal of 63888 is 88836.

63888 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9216) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 11 and base 16.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63888.

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, 5803 + ... + 5813.

2⁶³⁸⁸⁸ 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 63888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90768).

63888 is an abundant number, since it is smaller than the sum of its proper divisors (117648).

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

63888 is a wasteful number, since it uses less digits than its factorization.

63888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 16 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 63888 is about 252.7607564477. The cubic root of 63888 is about 39.9766530423.

Multiplying 63888 by its sum of digits (33), we get a square (2108304 = 1452²).

63888 divided by its sum of digits (33) gives a square (1936 = 44²).

The spelling of 63888 in words is "sixty-three thousand, eight hundred eighty-eight".