13568400 has 90 divisors (see below), whose sum is σ = 47098610. Its totient is φ = 3617280.

The previous prime is 13568389. The next prime is 13568419. The reversal of 13568400 is 486531.

13568400 = T₉₈₉ + T₉₉₀ + ... + T₁₀₁₅.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 11209104 = 1536^2 + 3348^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1716 + ... + 5484.

Almost surely, 2^13568400 is an apocalyptic number.

13568400 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 13568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23549305).

13568400 is an abundant number, since it is smaller than the sum of its proper divisors (33530210).

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

13568400 is a wasteful number, since it uses less digits than its factorization.

13568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13568400 is about 3683.5309147610. The cubic root of 13568400 is about 238.5116221279.

The spelling of 13568400 in words is "thirteen million, five hundred sixty-eight thousand, four hundred".