13187664 has 160 divisors (see below), whose sum is σ = 44640000. Its totient is φ = 3725568.

The previous prime is 13187659. The next prime is 13187701. The reversal of 13187664 is 46678131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148132 + ... + 148220.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 2^13187664 is an apocalyptic number.

13187664 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 13187664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320000).

13187664 is an abundant number, since it is smaller than the sum of its proper divisors (31452336).

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

13187664 is an equidigital number, since it uses as much as digits as its factorization.

13187664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 13187664 is about 3631.4823419645. The cubic root of 13187664 is about 236.2595057904.

The spelling of 13187664 in words is "thirteen million, one hundred eighty-seven thousand, six hundred sixty-four".