63944800 has 72 divisors (see below), whose sum is σ = 158567976. Its totient is φ = 25175040.

The previous prime is 63944767. The next prime is 63944851. The reversal of 63944800 is 844936.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53004 + ... + 54196.

It is an arithmetic number, because the mean of its divisors is an integer number (2202333).

Almost surely, 2^63944800 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 63944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79283988).

63944800 is an abundant number, since it is smaller than the sum of its proper divisors (94623176).

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

63944800 is a wasteful number, since it uses less digits than its factorization.

63944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 63944800 is about 7996.5492557728. The cubic root of 63944800 is about 399.8849669216.

The spelling of 63944800 in words is "sixty-three million, nine hundred forty-four thousand, eight hundred".