13384920 has 64 divisors (see below), whose sum is σ = 40746240. Its totient is φ = 3516800.

The previous prime is 13384913. The next prime is 13384927. The reversal of 13384920 is 2948331.

13384920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13384913) and next prime (13384927).

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 (13384927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7735 + ... + 9305.

It is an arithmetic number, because the mean of its divisors is an integer number (636660).

Almost surely, 2^13384920 is an apocalyptic number.

13384920 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 13384920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373120).

13384920 is an abundant number, since it is smaller than the sum of its proper divisors (27361320).

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

13384920 is a wasteful number, since it uses less digits than its factorization.

13384920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13384920 is about 3658.5406926806. The cubic root of 13384920 is about 237.4316405292.

The spelling of 13384920 in words is "thirteen million, three hundred eighty-four thousand, nine hundred twenty".