63856 has 20 divisors (see below), whose sum is σ = 133672. Its totient is φ = 29376.

The previous prime is 63853. The next prime is 63857. The reversal of 63856 is 65836.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55 + ... + 361.

2⁶³⁸⁵⁶ 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 63856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66836).

63856 is an abundant number, since it is smaller than the sum of its proper divisors (69816).

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

63856 is a wasteful number, since it uses less digits than its factorization.

63856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 63856 is about 252.6974475534. The cubic root of 63856 is about 39.9699774718.

Subtracting from 63856 its product of digits (4320), we obtain a square (59536 = 244²).

It can be divided in two parts, 63 and 856, that added together give a palindrome (919).

The spelling of 63856 in words is "sixty-three thousand, eight hundred fifty-six".