13457568 has 48 divisors (see below), whose sum is σ = 35695296. Its totient is φ = 4439040.

The previous prime is 13457551. The next prime is 13457579. The reversal of 13457568 is 86575431.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13457568² = 362212272949248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9208 + ... + 10568.

It is an arithmetic number, because the mean of its divisors is an integer number (743652).

Almost surely, 2^13457568 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 13457568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17847648).

13457568 is an abundant number, since it is smaller than the sum of its proper divisors (22237728).

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

13457568 is a wasteful number, since it uses less digits than its factorization.

13457568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 13457568 is about 3668.4558059216. The cubic root of 13457568 is about 237.8604270742.

The spelling of 13457568 in words is "thirteen million, four hundred fifty-seven thousand, five hundred sixty-eight".