8638100 has 18 divisors (see below), whose sum is σ = 18744894. Its totient is φ = 3455200.

The previous prime is 8638067. The next prime is 8638117. The reversal of 8638100 is 18368.

It can be written as a sum of positive squares in 3 ways, for example, as 355216 + 8282884 = 596^2 + 2878^2 .

It is a super-2 number, since 2×8638100² = 149233543220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8638100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43091 + ... + 43290.

It is an arithmetic number, because the mean of its divisors is an integer number (1041383).

Almost surely, 2^8638100 is an apocalyptic number.

It is an amenable number.

8638100 is an abundant number, since it is smaller than the sum of its proper divisors (10106794).

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

8638100 is a wasteful number, since it uses less digits than its factorization.

8638100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86395 (or 86388 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 8638100 is about 2939.0644770062. The cubic root of 8638100 is about 205.1820710434.

The spelling of 8638100 in words is "eight million, six hundred thirty-eight thousand, one hundred".