13291200 has 252 divisors, whose sum is σ = 51590448. Its totient is φ = 3225600.

The previous prime is 13291199. The next prime is 13291237. The reversal of 13291200 is 219231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187165 + ... + 187235.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^13291200 is an apocalyptic number.

13291200 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 13291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25795224).

13291200 is an abundant number, since it is smaller than the sum of its proper divisors (38299248).

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

13291200 is a wasteful number, since it uses less digits than its factorization.

13291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13291200 is about 3645.7098074312. The cubic root of 13291200 is about 236.8761837903.

The spelling of 13291200 in words is "thirteen million, two hundred ninety-one thousand, two hundred".