13846160 has 40 divisors (see below), whose sum is σ = 34089336. Its totient is φ = 5212160.

The previous prime is 13846159. The next prime is 13846171. The reversal of 13846160 is 6164831.

It can be written as a sum of positive squares in 4 ways, for example, as 3400336 + 10445824 = 1844^2 + 3232^2 .

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

It is a super-2 number, since 2×13846160² = 383432293491200, which contains 22 as substring.

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, 3731 + ... + 6450.

Almost surely, 2^13846160 is an apocalyptic number.

13846160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13846160 is an abundant number, since it is smaller than the sum of its proper divisors (20243176).

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

13846160 is a wasteful number, since it uses less digits than its factorization.

13846160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 13846160 is about 3721.0428645744. The cubic root of 13846160 is about 240.1281722780.

The spelling of 13846160 in words is "thirteen million, eight hundred forty-six thousand, one hundred sixty".