13681920 has 144 divisors (see below), whose sum is σ = 50037120. Its totient is φ = 3121152.

The previous prime is 13681907. The next prime is 13681951. The reversal of 13681920 is 2918631.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26626 + ... + 27134.

It is an arithmetic number, because the mean of its divisors is an integer number (347480).

Almost surely, 2^13681920 is an apocalyptic number.

13681920 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 13681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25018560).

13681920 is an abundant number, since it is smaller than the sum of its proper divisors (36355200).

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

13681920 is an equidigital number, since it uses as much as digits as its factorization.

13681920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

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

The square root of 13681920 is about 3698.9079469487. The cubic root of 13681920 is about 239.1749447103.

The spelling of 13681920 in words is "thirteen million, six hundred eighty-one thousand, nine hundred twenty".