13332840 has 64 divisors (see below), whose sum is σ = 40340160. Its totient is φ = 3525120.

The previous prime is 13332833. The next prime is 13332857. The reversal of 13332840 is 4823331.

13332840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13332840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16035 + ... + 16845.

It is an arithmetic number, because the mean of its divisors is an integer number (630315).

Almost surely, 2^13332840 is an apocalyptic number.

13332840 is a gapful number since it is divisible by the number (10) 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 13332840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20170080).

13332840 is an abundant number, since it is smaller than the sum of its proper divisors (27007320).

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

13332840 is a wasteful number, since it uses less digits than its factorization.

13332840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13332840 is about 3651.4161636275. The cubic root of 13332840 is about 237.1232957066.

The spelling of 13332840 in words is "thirteen million, three hundred thirty-two thousand, eight hundred forty".