13997568 has 80 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 4300800.

The previous prime is 13997567. The next prime is 13997569. The reversal of 13997568 is 86579931.

It is an interprime number because it is at equal distance from previous prime (13997567) and next prime (13997569).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13997561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19618 + ... + 20318.

Almost surely, 2^13997568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13997568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

13997568 is an abundant number, since it is smaller than the sum of its proper divisors (26218608).

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

13997568 is an equidigital number, since it uses as much as digits as its factorization.

13997568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 13997568 is about 3741.3323829887. The cubic root of 13997568 is about 241.0002697379. Note that the first 3 decimals are identical.

The spelling of 13997568 in words is "thirteen million, nine hundred ninety-seven thousand, five hundred sixty-eight".