63264100 has 36 divisors (see below), whose sum is σ = 137686500. Its totient is φ = 25231360.

The previous prime is 63264073. The next prime is 63264101. The reversal of 63264100 is 146236.

63264100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10614564 + 52649536 = 3258^2 + 7256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63264101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44196 + ... + 45604.

It is an arithmetic number, because the mean of its divisors is an integer number (3824625).

Almost surely, 2^63264100 is an apocalyptic number.

It is an amenable number.

63264100 is an abundant number, since it is smaller than the sum of its proper divisors (74422400).

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

63264100 is a wasteful number, since it uses less digits than its factorization.

63264100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 63264100 is about 7953.8732703005. The cubic root of 63264100 is about 398.4609609920.

The spelling of 63264100 in words is "sixty-three million, two hundred sixty-four thousand, one hundred".