63687456 has 108 divisors (see below), whose sum is σ = 210727062. Its totient is φ = 18192384.

The previous prime is 63687413. The next prime is 63687499. The reversal of 63687456 is 65478636.

63687456 is a `hidden beast` number, since 636 + 8 + 7 + 4 + 5 + 6 = 666.

63687456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63687413) and next prime (63687499).

It can be written as a sum of positive squares in only one way, i.e., 63680400 + 7056 = 7980^2 + 84^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11856 + ... + 16368.

Almost surely, 2^63687456 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 63687456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105363531).

63687456 is an abundant number, since it is smaller than the sum of its proper divisors (147039606).

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

63687456 is a wasteful number, since it uses less digits than its factorization.

63687456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543 (or 4525 counting only the distinct ones).

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

The square root of 63687456 is about 7980.4420930172. The cubic root of 63687456 is about 399.3478038451.

It can be divided in two parts, 6368 and 7456, that added together give a cube (13824 = 24³).

The spelling of 63687456 in words is "sixty-three million, six hundred eighty-seven thousand, four hundred fifty-six".