13364832 has 48 divisors (see below), whose sum is σ = 37784880. Its totient is φ = 4111872.

The previous prime is 13364821. The next prime is 13364833. The reversal of 13364832 is 23846331.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13364832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364833) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4107 + ... + 6602.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 2^13364832 is an apocalyptic number.

13364832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13364832 is an abundant number, since it is smaller than the sum of its proper divisors (24420048).

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

13364832 is a wasteful number, since it uses less digits than its factorization.

13364832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735 (or 10727 counting only the distinct ones).

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

The square root of 13364832 is about 3655.7943049357. The cubic root of 13364832 is about 237.3128024434.

It can be divided in two parts, 13364 and 832, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 13364832 in words is "thirteen million, three hundred sixty-four thousand, eight hundred thirty-two".