13892160 has 112 divisors (see below), whose sum is σ = 45720000. Its totient is φ = 3569664.

The previous prime is 13892147. The next prime is 13892171. The reversal of 13892160 is 6129831.

13892160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27591 + ... + 28089.

Almost surely, 2^13892160 is an apocalyptic number.

13892160 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 13892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22860000).

13892160 is an abundant number, since it is smaller than the sum of its proper divisors (31827840).

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

13892160 is a wasteful number, since it uses less digits than its factorization.

13892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13892160 is about 3727.2188022707. The cubic root of 13892160 is about 240.3937979376.

The spelling of 13892160 in words is "thirteen million, eight hundred ninety-two thousand, one hundred sixty".