13788864 has 84 divisors (see below), whose sum is σ = 40654224. Its totient is φ = 4465152.

The previous prime is 13788847. The next prime is 13788869. The reversal of 13788864 is 46888731.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13788869) 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, 20989 + ... + 21635.

Almost surely, 2^13788864 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 13788864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327112).

13788864 is an abundant number, since it is smaller than the sum of its proper divisors (26865360).

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

13788864 is a wasteful number, since it uses less digits than its factorization.

13788864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 13788864 is about 3713.3359664862. The cubic root of 13788864 is about 239.7964941545.

The spelling of 13788864 in words is "thirteen million, seven hundred eighty-eight thousand, eight hundred sixty-four".