13618864 has 60 divisors (see below), whose sum is σ = 31806000. Its totient is φ = 5625984.

The previous prime is 13618837. The next prime is 13618879. The reversal of 13618864 is 46881631.

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, 22437 + ... + 23035.

It is an arithmetic number, because the mean of its divisors is an integer number (530100).

Almost surely, 2^13618864 is an apocalyptic number.

13618864 is a gapful number since it is divisible by the number (14) 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 13618864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903000).

13618864 is an abundant number, since it is smaller than the sum of its proper divisors (18187136).

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

13618864 is a wasteful number, since it uses less digits than its factorization.

13618864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 637 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 13618864 is about 3690.3745067405. The cubic root of 13618864 is about 238.8069494913.

The spelling of 13618864 in words is "thirteen million, six hundred eighteen thousand, eight hundred sixty-four".