13491200 has 132 divisors (see below), whose sum is σ = 36551232. Its totient is φ = 4915200.

The previous prime is 13491161. The next prime is 13491211. The reversal of 13491200 is 219431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435185 + ... + 435215.

Almost surely, 2^13491200 is an apocalyptic number.

13491200 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 13491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275616).

13491200 is an abundant number, since it is smaller than the sum of its proper divisors (23060032).

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

13491200 is a wasteful number, since it uses less digits than its factorization.

13491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13491200 is about 3673.0368906397. The cubic root of 13491200 is about 238.0584090337.

The spelling of 13491200 in words is "thirteen million, four hundred ninety-one thousand, two hundred".