13383920 has 80 divisors (see below), whose sum is σ = 34604928. Its totient is φ = 4773120.

The previous prime is 13383911. The next prime is 13383967. The reversal of 13383920 is 2938331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58847 + ... + 59073.

Almost surely, 2^13383920 is an apocalyptic number.

13383920 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 13383920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17302464).

13383920 is an abundant number, since it is smaller than the sum of its proper divisors (21221008).

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

13383920 is a wasteful number, since it uses less digits than its factorization.

13383920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

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

The square root of 13383920 is about 3658.4040236147. The cubic root of 13383920 is about 237.4257274680.

The spelling of 13383920 in words is "thirteen million, three hundred eighty-three thousand, nine hundred twenty".