13885600 has 72 divisors (see below), whose sum is σ = 35927388. Its totient is φ = 5222400.

The previous prime is 13885589. The next prime is 13885601. The reversal of 13885600 is 658831.

It can be written as a sum of positive squares in 6 ways, for example, as 7595536 + 6290064 = 2756^2 + 2508^2 .

It is not an unprimeable number, because it can be changed into a prime (13885601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13090 + ... + 14110.

Almost surely, 2^13885600 is an apocalyptic number.

13885600 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 13885600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963694).

13885600 is an abundant number, since it is smaller than the sum of its proper divisors (22041788).

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

13885600 is a wasteful number, since it uses less digits than its factorization.

13885600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 13885600 is about 3726.3386856270. The cubic root of 13885600 is about 240.3559532924.

The spelling of 13885600 in words is "thirteen million, eight hundred eighty-five thousand, six hundred".