63982400 has 42 divisors (see below), whose sum is σ = 157440630. Its totient is φ = 25592320.

The previous prime is 63982393. The next prime is 63982403. The reversal of 63982400 is 428936.

It can be written as a sum of positive squares in 3 ways, for example, as 238144 + 63744256 = 488^2 + 7984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63982403) 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, 18395 + ... + 21594.

Almost surely, 2^63982400 is an apocalyptic number.

It is an amenable number.

63982400 is an abundant number, since it is smaller than the sum of its proper divisors (93458230).

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

63982400 is a wasteful number, since it uses less digits than its factorization.

63982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40011 (or 39996 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 63982400 is about 7998.8999243646. The cubic root of 63982400 is about 399.9633299717.

The spelling of 63982400 in words is "sixty-three million, nine hundred eighty-two thousand, four hundred".