13398160 has 40 divisors (see below), whose sum is σ = 31303800. Its totient is φ = 5332992.

The previous prime is 13398157. The next prime is 13398233. The reversal of 13398160 is 6189331.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 11370384 = 1424^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29616 + ... + 30064.

It is an arithmetic number, because the mean of its divisors is an integer number (782595).

Almost surely, 2^13398160 is an apocalyptic number.

13398160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13398160 is an abundant number, since it is smaller than the sum of its proper divisors (17905640).

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

13398160 is a wasteful number, since it uses less digits than its factorization.

13398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 13398160 is about 3660.3497100687. The cubic root of 13398160 is about 237.5099017109.

The spelling of 13398160 in words is "thirteen million, three hundred ninety-eight thousand, one hundred sixty".