63318816 has 216 divisors, whose sum is σ = 209139840. Its totient is φ = 18120960.

The previous prime is 63318799. The next prime is 63318841. The reversal of 63318816 is 61881336.

63318816 is a `hidden beast` number, since 633 + 1 + 8 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801465 + ... + 801543.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^63318816 is an apocalyptic number.

63318816 is a gapful number since it is divisible by the number (66) 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 63318816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

63318816 is an abundant number, since it is smaller than the sum of its proper divisors (145821024).

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

63318816 is a wasteful number, since it uses less digits than its factorization.

63318816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 63318816 is about 7957.3121089976. The cubic root of 63318816 is about 398.5758018339.

The spelling of 63318816 in words is "sixty-three million, three hundred eighteen thousand, eight hundred sixteen".