13656864 has 96 divisors (see below), whose sum is σ = 39965184. Its totient is φ = 4055040.

The previous prime is 13656859. The next prime is 13656869. The reversal of 13656864 is 46865631.

It is an interprime number because it is at equal distance from previous prime (13656859) and next prime (13656869).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (13656869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38512 + ... + 38864.

It is an arithmetic number, because the mean of its divisors is an integer number (416304).

Almost surely, 2^13656864 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 13656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19982592).

13656864 is an abundant number, since it is smaller than the sum of its proper divisors (26308320).

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

13656864 is a wasteful number, since it uses less digits than its factorization.

13656864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 13656864 is about 3695.5194492791. The cubic root of 13656864 is about 239.0288533876.

The spelling of 13656864 in words is "thirteen million, six hundred fifty-six thousand, eight hundred sixty-four".