13893120 has 200 divisors, whose sum is σ = 50503464. Its totient is φ = 3649536.

The previous prime is 13893109. The next prime is 13893133. The reversal of 13893120 is 2139831.

13893120 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207327 + ... + 207393.

Almost surely, 2^13893120 is an apocalyptic number.

13893120 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 13893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25251732).

13893120 is an abundant number, since it is smaller than the sum of its proper divisors (36610344).

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

13893120 is an frugal number, since it uses more digits than its factorization.

13893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13893120 is about 3727.3475823969. The cubic root of 13893120 is about 240.3993351790.

The spelling of 13893120 in words is "thirteen million, eight hundred ninety-three thousand, one hundred twenty".