13733568 has 84 divisors (see below), whose sum is σ = 39901368. Its totient is φ = 4515840.

The previous prime is 13733543. The next prime is 13733581. The reversal of 13733568 is 86533731.

It is a super-2 number, since 2×13733568² = 377221780021248, which contains 22 as substring.

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

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, 64983 + ... + 65193.

Almost surely, 2^13733568 is an apocalyptic number.

13733568 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 13733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950684).

13733568 is an abundant number, since it is smaller than the sum of its proper divisors (26167800).

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

13733568 is a wasteful number, since it uses less digits than its factorization.

13733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13733568 is about 3705.8828907563. The cubic root of 13733568 is about 239.4755213438.

The spelling of 13733568 in words is "thirteen million, seven hundred thirty-three thousand, five hundred sixty-eight".