13557168 has 60 divisors (see below), whose sum is σ = 39178048. Its totient is φ = 4371840.

The previous prime is 13557163. The next prime is 13557179. The reversal of 13557168 is 86175531.

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

It is not an unprimeable number, because it can be changed into a prime (13557161) 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, 2946 + ... + 5982.

Almost surely, 2^13557168 is an apocalyptic number.

13557168 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 13557168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589024).

13557168 is an abundant number, since it is smaller than the sum of its proper divisors (25620880).

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

13557168 is a wasteful number, since it uses less digits than its factorization.

13557168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3073 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 13557168 is about 3682.0059750087. The cubic root of 13557168 is about 238.4457901924.

The spelling of 13557168 in words is "thirteen million, five hundred fifty-seven thousand, one hundred sixty-eight".