13613688 has 48 divisors (see below), whose sum is σ = 40224600. Its totient is φ = 4125120.

The previous prime is 13613687. The next prime is 13613701. The reversal of 13613688 is 88631631.

It is a super-2 number, since 2×13613688² = 370665001922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13613687) 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, 7803 + ... + 9386.

Almost surely, 2^13613688 is an apocalyptic number.

13613688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13613688 is an abundant number, since it is smaller than the sum of its proper divisors (26610912).

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

13613688 is a wasteful number, since it uses less digits than its factorization.

13613688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17212 (or 17205 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13613688 is about 3689.6731562565. The cubic root of 13613688 is about 238.7766919163.

It can be divided in two parts, 136 and 13688, that added together give a cube (13824 = 24³).

The spelling of 13613688 in words is "thirteen million, six hundred thirteen thousand, six hundred eighty-eight".