13907200 has 108 divisors (see below), whose sum is σ = 35927388. Its totient is φ = 5324800.

The previous prime is 13907167. The next prime is 13907219. The reversal of 13907200 is 270931.

It can be written as a sum of positive squares in 6 ways, for example, as 1290496 + 12616704 = 1136^2 + 3552^2 .

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, 262374 + ... + 262426.

It is an arithmetic number, because the mean of its divisors is an integer number (332661).

Almost surely, 2^13907200 is an apocalyptic number.

13907200 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 13907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17963694).

13907200 is an abundant number, since it is smaller than the sum of its proper divisors (22020188).

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

13907200 is an equidigital number, since it uses as much as digits as its factorization.

13907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 13907200 is about 3729.2358466581. The cubic root of 13907200 is about 240.4805187632.

The spelling of 13907200 in words is "thirteen million, nine hundred seven thousand, two hundred".