13606800 has 240 divisors, whose sum is σ = 49818240. Its totient is φ = 3153920.

The previous prime is 13606781. The next prime is 13606807. The reversal of 13606800 is 860631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13606807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469186 + ... + 469214.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 2^13606800 is an apocalyptic number.

13606800 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 13606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

13606800 is an abundant number, since it is smaller than the sum of its proper divisors (36211440).

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

13606800 is a wasteful number, since it uses less digits than its factorization.

13606800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13606800 is about 3688.7396221474. The cubic root of 13606800 is about 238.7364145299.

Subtracting from 13606800 its product of nonzero digits (864), we obtain a triangular number (13605936 = T₅₂₁₆).

The spelling of 13606800 in words is "thirteen million, six hundred six thousand, eight hundred".