13816920 has 128 divisors (see below), whose sum is σ = 47355840. Its totient is φ = 3194880.

The previous prime is 13816897. The next prime is 13816921. The reversal of 13816920 is 2961831.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13816921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26260 + ... + 26780.

Almost surely, 2^13816920 is an apocalyptic number.

13816920 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 13816920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677920).

13816920 is an abundant number, since it is smaller than the sum of its proper divisors (33538920).

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

13816920 is a wasteful number, since it uses less digits than its factorization.

13816920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 561 counting only the distinct ones).

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

The square root of 13816920 is about 3717.1117820157. Note that the first 3 decimals coincide. The cubic root of 13816920 is about 239.9590207811.

The spelling of 13816920 in words is "thirteen million, eight hundred sixteen thousand, nine hundred twenty".