13664100 has 72 divisors (see below), whose sum is σ = 40636288. Its totient is φ = 3542400.

The previous prime is 13664071. The next prime is 13664129. The reversal of 13664100 is 146631.

It is an interprime number because it is at equal distance from previous prime (13664071) and next prime (13664129).

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, 10485 + ... + 11715.

Almost surely, 2^13664100 is an apocalyptic number.

13664100 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 13664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318144).

13664100 is an abundant number, since it is smaller than the sum of its proper divisors (26972188).

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

13664100 is a wasteful number, since it uses less digits than its factorization.

13664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13664100 is about 3696.4983430268. The cubic root of 13664100 is about 239.0710618917.

The spelling of 13664100 in words is "thirteen million, six hundred sixty-four thousand, one hundred".