63318400 has 96 divisors (see below), whose sum is σ = 160123680. Its totient is φ = 24729600.

The previous prime is 63318389. The next prime is 63318401. The reversal of 63318400 is 481336.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63318401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150190 + ... + 150610.

It is an arithmetic number, because the mean of its divisors is an integer number (1667955).

Almost surely, 2^63318400 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 63318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80061840).

63318400 is an abundant number, since it is smaller than the sum of its proper divisors (96805280).

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

63318400 is a wasteful number, since it uses less digits than its factorization.

63318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 63318400 is about 7957.2859694748. The cubic root of 63318400 is about 398.5749289607.

Adding to 63318400 its reverse (481336), we get a palindrome (63799736).

The spelling of 63318400 in words is "sixty-three million, three hundred eighteen thousand, four hundred".