63872064 has 147 divisors (see below), whose sum is σ = 195307077. Its totient is φ = 20715264.

The previous prime is 63872047. The next prime is 63872087. The reversal of 63872064 is 46027836.

The square root of 63872064 is 7992.

It is a perfect power (a square), and thus also a powerful number.

63872064 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 57153600 + 6718464 = 7560^2 + 2592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1726254 + ... + 1726290.

Almost surely, 2^63872064 is an apocalyptic number.

63872064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63872064 is the 7992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63872064

63872064 is an abundant number, since it is smaller than the sum of its proper divisors (131435013).

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

63872064 is an frugal number, since it uses more digits than its factorization.

63872064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 63872064 is about 399.7332888691.

Multiplying 63872064 by its sum of digits (36), we get a square (2299394304 = 47952²).

63872064 divided by its sum of digits (36) gives a square (1774224 = 1332²).

The spelling of 63872064 in words is "sixty-three million, eight hundred seventy-two thousand, sixty-four".