63645504 has 112 divisors (see below), whose sum is σ = 185879232. Its totient is φ = 19095552.

The previous prime is 63645503. The next prime is 63645521. The reversal of 63645504 is 40554636.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63645503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107032 + ... + 107624.

It is an arithmetic number, because the mean of its divisors is an integer number (1659636).

Almost surely, 2^63645504 is an apocalyptic number.

63645504 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 63645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939616).

63645504 is an abundant number, since it is smaller than the sum of its proper divisors (122233728).

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

63645504 is a wasteful number, since it uses less digits than its factorization.

63645504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 63645504 is about 7977.8132342140. The cubic root of 63645504 is about 399.2600988764.

The spelling of 63645504 in words is "sixty-three million, six hundred forty-five thousand, five hundred four".