13338864 has 160 divisors (see below), whose sum is σ = 47854080. Its totient is φ = 3456000.

The previous prime is 13338851. The next prime is 13338883. The reversal of 13338864 is 46883331.

It is a happy number.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33064 + ... + 33464.

It is an arithmetic number, because the mean of its divisors is an integer number (299088).

Almost surely, 2^13338864 is an apocalyptic number.

13338864 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 13338864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23927040).

13338864 is an abundant number, since it is smaller than the sum of its proper divisors (34515216).

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

13338864 is a wasteful number, since it uses less digits than its factorization.

13338864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 424 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 13338864 is about 3652.2409559064. The cubic root of 13338864 is about 237.1590024191.

The spelling of 13338864 in words is "thirteen million, three hundred thirty-eight thousand, eight hundred sixty-four".