18664100 has 108 divisors (see below), whose sum is σ = 50910804. Its totient is φ = 5886720.

The previous prime is 18664073. The next prime is 18664153. The reversal of 18664100 is 146681.

It can be written as a sum of positive squares in 6 ways, for example, as 70756 + 18593344 = 266^2 + 4312^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 18664100.

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 35 ways as a sum of consecutive naturals, for example, 63554 + ... + 63846.

Almost surely, 2^18664100 is an apocalyptic number.

18664100 is a gapful number since it is divisible by the number (10) 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 18664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25455402).

18664100 is an abundant number, since it is smaller than the sum of its proper divisors (32246704).

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

18664100 is a wasteful number, since it uses less digits than its factorization.

18664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

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

The square root of 18664100 is about 4320.1967547787. The cubic root of 18664100 is about 265.2583217388.

The spelling of 18664100 in words is "eighteen million, six hundred sixty-four thousand, one hundred".