13233864 has 64 divisors (see below), whose sum is σ = 38851200. Its totient is φ = 3677184.

The previous prime is 13233851. The next prime is 13233887. The reversal of 13233864 is 46833231.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5152 + ... + 7280.

It is an arithmetic number, because the mean of its divisors is an integer number (607050).

Almost surely, 2^13233864 is an apocalyptic number.

13233864 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 13233864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19425600).

13233864 is an abundant number, since it is smaller than the sum of its proper divisors (25617336).

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

13233864 is a wasteful number, since it uses less digits than its factorization.

13233864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2178 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 13233864 is about 3637.8378193647. The cubic root of 13233864 is about 236.5350781641.

The spelling of 13233864 in words is "thirteen million, two hundred thirty-three thousand, eight hundred sixty-four".