13897600 has 96 divisors (see below), whose sum is σ = 35477640. Its totient is φ = 5376000.

The previous prime is 13897577. The next prime is 13897613. The reversal of 13897600 is 679831.

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, 137550 + ... + 137650.

Almost surely, 2^13897600 is an apocalyptic number.

13897600 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 13897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17738820).

13897600 is an abundant number, since it is smaller than the sum of its proper divisors (21580040).

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

13897600 is a wasteful number, since it uses less digits than its factorization.

13897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 13897600 is about 3727.9484974983. The cubic root of 13897600 is about 240.4251722667.

The spelling of 13897600 in words is "thirteen million, eight hundred ninety-seven thousand, six hundred".