13292160 has 256 divisors, whose sum is σ = 51701760. Its totient is φ = 2838528.

The previous prime is 13292119. The next prime is 13292173. The reversal of 13292160 is 6129231.

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 13292160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309099 + ... + 309141.

It is an arithmetic number, because the mean of its divisors is an integer number (201960).

Almost surely, 2^13292160 is an apocalyptic number.

13292160 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 13292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25850880).

13292160 is an abundant number, since it is smaller than the sum of its proper divisors (38409600).

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

13292160 is a wasteful number, since it uses less digits than its factorization.

13292160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 13292160 is about 3645.8414666576. The cubic root of 13292160 is about 236.8818867030.

The spelling of 13292160 in words is "thirteen million, two hundred ninety-two thousand, one hundred sixty".