63900 has 54 divisors (see below), whose sum is σ = 203112. Its totient is φ = 16800.

The previous prime is 63863. The next prime is 63901. The reversal of 63900 is 936.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 63900.

It is not an unprimeable number, because it can be changed into a prime (63901) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 865 + ... + 935.

2⁶³⁹⁰⁰ is an apocalyptic number.

63900 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 63900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556).

63900 is an abundant number, since it is smaller than the sum of its proper divisors (139212).

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

63900 is a wasteful number, since it uses less digits than its factorization.

63900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 63900 is about 252.7844931953. The cubic root of 63900 is about 39.9791558065.

The spelling of 63900 in words is "sixty-three thousand, nine hundred".