63968004 has 81 divisors (see below), whose sum is σ = 171057159. Its totient is φ = 20154960.

The previous prime is 63967993. The next prime is 63968027. The reversal of 63968004 is 40086936.

The square root of 63968004 is 7998.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 63968004.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1487607 + ... + 1487649.

Almost surely, 2^63968004 is an apocalyptic number.

63968004 is the 7998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63968004

63968004 is an abundant number, since it is smaller than the sum of its proper divisors (107089155).

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

63968004 is a wasteful number, since it uses less digits than its factorization.

63968004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 63968004 is about 399.9333305552.

Multiplying 63968004 by its sum of digits (36), we get a square (2302848144 = 47988²).

63968004 divided by its sum of digits (36) gives a square (1776889 = 1333²).

It can be divided in two parts, 6396 and 8004, that added together give a square (14400 = 120²).

The spelling of 63968004 in words is "sixty-three million, nine hundred sixty-eight thousand, four".