13991600 has 120 divisors (see below), whose sum is σ = 40592640. Its totient is φ = 4527360.

The previous prime is 13991597. The next prime is 13991639. The reversal of 13991600 is 619931.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53069 + ... + 53331.

It is an arithmetic number, because the mean of its divisors is an integer number (338272).

Almost surely, 2^13991600 is an apocalyptic number.

13991600 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 13991600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296320).

13991600 is an abundant number, since it is smaller than the sum of its proper divisors (26601040).

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

13991600 is a wasteful number, since it uses less digits than its factorization.

13991600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 13991600 is about 3740.5347211328. The cubic root of 13991600 is about 240.9660139285.

The spelling of 13991600 in words is "thirteen million, nine hundred ninety-one thousand, six hundred".