13042688 has 44 divisors (see below), whose sum is σ = 26725632. Its totient is φ = 6359040.

The previous prime is 13042681. The next prime is 13042693. The reversal of 13042688 is 88624031.

It is a super-2 number, since 2×13042688² = 340223420530688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13042681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47993 + ... + 48263.

Almost surely, 2^13042688 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 13042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13362816).

13042688 is an abundant number, since it is smaller than the sum of its proper divisors (13682944).

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

13042688 is an equidigital number, since it uses as much as digits as its factorization.

13042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 13042688 is about 3611.4661842526. The cubic root of 13042688 is about 235.3905562326.

The spelling of 13042688 in words is "thirteen million, forty-two thousand, six hundred eighty-eight".