63318564 has 96 divisors (see below), whose sum is σ = 176064000. Its totient is φ = 19618848.

The previous prime is 63318559. The next prime is 63318569. The reversal of 63318564 is 46581336.

63318564 is a `hidden beast` number, since 63 + 31 + 8 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (63318559) and next prime (63318569).

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

It is not an unprimeable number, because it can be changed into a prime (63318569) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120807 + ... + 121329.

It is an arithmetic number, because the mean of its divisors is an integer number (1834000).

Almost surely, 2^63318564 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 63318564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88032000).

63318564 is an abundant number, since it is smaller than the sum of its proper divisors (112745436).

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

63318564 is a wasteful number, since it uses less digits than its factorization.

63318564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 63318564 is about 7957.2962744892. The cubic root of 63318564 is about 398.5752730746.

The spelling of 63318564 in words is "sixty-three million, three hundred eighteen thousand, five hundred sixty-four".