63648100 has 72 divisors (see below), whose sum is σ = 147039200. Its totient is φ = 23846400.

The previous prime is 63648073. The next prime is 63648131. The reversal of 63648100 is 184636.

63648100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63648100² = 8102161267220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 263980 + ... + 264220.

Almost surely, 2^63648100 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 63648100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73519600).

63648100 is an abundant number, since it is smaller than the sum of its proper divisors (83391100).

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

63648100 is a wasteful number, since it uses less digits than its factorization.

63648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 63648100 is about 7977.9759337817. The cubic root of 63648100 is about 399.2655271997.

The spelling of 63648100 in words is "sixty-three million, six hundred forty-eight thousand, one hundred".