13604864 has 96 divisors (see below), whose sum is σ = 33939360. Its totient is φ = 5308416.

The previous prime is 13604839. The next prime is 13604881. The reversal of 13604864 is 46840631.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13604864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186332 + ... + 186404.

It is an arithmetic number, because the mean of its divisors is an integer number (353535).

Almost surely, 2^13604864 is an apocalyptic number.

13604864 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 13604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969680).

13604864 is an abundant number, since it is smaller than the sum of its proper divisors (20334496).

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

13604864 is an equidigital number, since it uses as much as digits as its factorization.

13604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 13604864 is about 3688.4771925552. The cubic root of 13604864 is about 238.7250913773.

The spelling of 13604864 in words is "thirteen million, six hundred four thousand, eight hundred sixty-four".