63876 has 12 divisors (see below), whose sum is σ = 149072. Its totient is φ = 21288.

The previous prime is 63863. The next prime is 63901. The reversal of 63876 is 67836.

63876 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 tau number, because it is divible by the number of its divisors (12).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2650 + ... + 2673.

2⁶³⁸⁷⁶ is an apocalyptic number.

It is an amenable number.

63876 is an abundant number, since it is smaller than the sum of its proper divisors (85196).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74536).

63876 is a wasteful number, since it uses less digits than its factorization.

63876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 5328 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 63876 is about 252.7370174707. The cubic root of 63876 is about 39.9741499647.

It can be divided in two parts, 63 and 876, that added together give a palindrome (939).

The spelling of 63876 in words is "sixty-three thousand, eight hundred seventy-six".