13697568 has 72 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 4523904.

The previous prime is 13697561. The next prime is 13697587. The reversal of 13697568 is 86579631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13697568² = 375246738229248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13697561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57193 + ... + 57431.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^13697568 is an apocalyptic number.

13697568 is a gapful number since it is divisible by the number (18) 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 13697568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13697568 is an abundant number, since it is smaller than the sum of its proper divisors (25614432).

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

13697568 is a wasteful number, since it uses less digits than its factorization.

13697568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 13697568 is about 3701.0225614011. The cubic root of 13697568 is about 239.2660913631.

The spelling of 13697568 in words is "thirteen million, six hundred ninety-seven thousand, five hundred sixty-eight".