13586468 has 72 divisors (see below), whose sum is σ = 30532992. Its totient is φ = 5170176.

The previous prime is 13586453. The next prime is 13586477. The reversal of 13586468 is 86468531.

It is a super-2 number, since 2×13586468² = 369184225430048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186080 + ... + 186152.

Almost surely, 2^13586468 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 13586468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266496).

13586468 is an abundant number, since it is smaller than the sum of its proper divisors (16946524).

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

13586468 is a wasteful number, since it uses less digits than its factorization.

13586468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 13586468 is about 3685.9826369640. The cubic root of 13586468 is about 238.6174443953.

The spelling of 13586468 in words is "thirteen million, five hundred eighty-six thousand, four hundred sixty-eight".