13874160 has 40 divisors (see below), whose sum is σ = 43010640. Its totient is φ = 3699712.

The previous prime is 13874153. The next prime is 13874171. The reversal of 13874160 is 6147831.

13874160 = T₃₆₅ + T₃₆₆ + ... + T₅₀₈.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 28665 + ... + 29144.

It is an arithmetic number, because the mean of its divisors is an integer number (1075266).

Almost surely, 2^13874160 is an apocalyptic number.

13874160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13874160 is an abundant number, since it is smaller than the sum of its proper divisors (29136480).

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

13874160 is a wasteful number, since it uses less digits than its factorization.

13874160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57825 (or 57819 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 13874160 is about 3724.8033505140. The cubic root of 13874160 is about 240.2899273955.

The spelling of 13874160 in words is "thirteen million, eight hundred seventy-four thousand, one hundred sixty".