63864 has 24 divisors (see below), whose sum is σ = 173160. Its totient is φ = 21264.

The previous prime is 63863. The next prime is 63901. The reversal of 63864 is 46836.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×63864² = 8157220992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 372 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (7215).

2⁶³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

63864 is an abundant number, since it is smaller than the sum of its proper divisors (109296).

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

63864 is a wasteful number, since it uses less digits than its factorization.

63864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 63864 is about 252.7132762638. The cubic root of 63864 is about 39.9716465735.

The spelling of 63864 in words is "sixty-three thousand, eight hundred sixty-four".