13384140 has 96 divisors (see below), whose sum is σ = 46738944. Its totient is φ = 2780160.

The previous prime is 13384127. The next prime is 13384181. The reversal of 13384140 is 4148331.

13384140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13384140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3172 + ... + 6068.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 2^13384140 is an apocalyptic number.

13384140 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 13384140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369472).

13384140 is an abundant number, since it is smaller than the sum of its proper divisors (33354804).

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

13384140 is a wasteful number, since it uses less digits than its factorization.

13384140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13384140 is about 3658.4340912472. The cubic root of 13384140 is about 237.4270283667.

The spelling of 13384140 in words is "thirteen million, three hundred eighty-four thousand, one hundred forty".