63868800 has 96 divisors (see below), whose sum is σ = 210399480. Its totient is φ = 17029120.

The previous prime is 63868781. The next prime is 63868801. The reversal of 63868800 is 886836.

63868800 is digitally balanced in base 2, because in such base 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 (96).

It is a super-2 number, since 2×63868800² = 8158447226880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63868801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6274 + ... + 12926.

Almost surely, 2^63868800 is an apocalyptic number.

63868800 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 63868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105199740).

63868800 is an abundant number, since it is smaller than the sum of its proper divisors (146530680).

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

63868800 is a wasteful number, since it uses less digits than its factorization.

63868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 63868800 is about 7991.7957931869. The cubic root of 63868800 is about 399.7264796759.

The spelling of 63868800 in words is "sixty-three million, eight hundred sixty-eight thousand, eight hundred".