13382160 has 160 divisors (see below), whose sum is σ = 46818432. Its totient is φ = 3133440.

The previous prime is 13382087. The next prime is 13382167. The reversal of 13382160 is 6128331.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13382160.

It is not an unprimeable number, because it can be changed into a prime (13382167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97612 + ... + 97748.

Almost surely, 2^13382160 is an apocalyptic number.

13382160 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 13382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409216).

13382160 is an abundant number, since it is smaller than the sum of its proper divisors (33436272).

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

13382160 is a wasteful number, since it uses less digits than its factorization.

13382160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13382160 is about 3658.1634736572. The cubic root of 13382160 is about 237.4153197648.

Multiplying 13382160 by its sum of digits (24), we get a triangular number (321171840 = T₂₅₃₄₄).

The spelling of 13382160 in words is "thirteen million, three hundred eighty-two thousand, one hundred sixty".