63857664 has 198 divisors, whose sum is σ = 204532146. Its totient is φ = 19169280.

The previous prime is 63857659. The next prime is 63857669. The reversal of 63857664 is 46675836.

63857664 is a `hidden beast` number, since 638 + 5 + 7 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (63857659) and next prime (63857669).

It can be written as a sum of positive squares in 3 ways, for example, as 4875264 + 58982400 = 2208^2 + 7680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63857669) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1557484 + ... + 1557524.

Almost surely, 2^63857664 is an apocalyptic number.

63857664 is a gapful number since it is divisible by the number (64) 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 63857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102266073).

63857664 is an abundant number, since it is smaller than the sum of its proper divisors (140674482).

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

63857664 is a wasteful number, since it uses less digits than its factorization.

63857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 63857664 is about 7991.0990483162. The cubic root of 63857664 is about 399.7032465646.

The spelling of 63857664 in words is "sixty-three million, eight hundred fifty-seven thousand, six hundred sixty-four".