13833920 has 56 divisors (see below), whose sum is σ = 34893504. Its totient is φ = 5206016.

The previous prime is 13833913. The next prime is 13833943. The reversal of 13833920 is 2933831.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 4169 + ... + 6711.

Almost surely, 2^13833920 is an apocalyptic number.

13833920 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 13833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446752).

13833920 is an abundant number, since it is smaller than the sum of its proper divisors (21059584).

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

13833920 is a wasteful number, since it uses less digits than its factorization.

13833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 13833920 is about 3719.3978007199. The cubic root of 13833920 is about 240.0573936812.

The spelling of 13833920 in words is "thirteen million, eight hundred thirty-three thousand, nine hundred twenty".