63566640 has 80 divisors (see below), whose sum is σ = 218959200. Its totient is φ = 16950528.

The previous prime is 63566627. The next prime is 63566651. The reversal of 63566640 is 4666536.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 63566595 and 63566604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12555 + ... + 16874.

It is an arithmetic number, because the mean of its divisors is an integer number (2736990).

Almost surely, 2^63566640 is an apocalyptic number.

63566640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63566640 is an abundant number, since it is smaller than the sum of its proper divisors (155392560).

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

63566640 is a wasteful number, since it uses less digits than its factorization.

63566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29451 (or 29439 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 63566640 is about 7972.8689942830. The cubic root of 63566640 is about 399.0951211961.

It can be divided in two parts, 6356 and 6640, that added together give a square (12996 = 114²).

The spelling of 63566640 in words is "sixty-three million, five hundred sixty-six thousand, six hundred forty".