13329764 has 36 divisors (see below), whose sum is σ = 27732096. Its totient is φ = 5587344.

The previous prime is 13329761. The next prime is 13329769. The reversal of 13329764 is 46792331.

13329764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (27216) is a multiple of the sum of its prime factors (1512).

It is not an unprimeable number, because it can be changed into a prime (13329761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8489 + ... + 9935.

It is an arithmetic number, because the mean of its divisors is an integer number (770336).

Almost surely, 2^13329764 is an apocalyptic number.

13329764 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 13329764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866048).

13329764 is an abundant number, since it is smaller than the sum of its proper divisors (14402332).

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

13329764 is a wasteful number, since it uses less digits than its factorization.

13329764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1503 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 13329764 is about 3650.9949328916. The cubic root of 13329764 is about 237.1050588479.

The spelling of 13329764 in words is "thirteen million, three hundred twenty-nine thousand, seven hundred sixty-four".