13380840 has 192 divisors, whose sum is σ = 49420800. Its totient is φ = 3110400.

The previous prime is 13380839. The next prime is 13380841. The reversal of 13380840 is 4808331.

13380840 = T₄₄₀ + T₄₄₁ + ... + T₅₄₈.

It is an interprime number because it is at equal distance from previous prime (13380839) and next prime (13380841).

It is not an unprimeable number, because it can be changed into a prime (13380841) 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 47 ways as a sum of consecutive naturals, for example, 122706 + ... + 122814.

It is an arithmetic number, because the mean of its divisors is an integer number (257400).

Almost surely, 2^13380840 is an apocalyptic number.

13380840 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 13380840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710400).

13380840 is an abundant number, since it is smaller than the sum of its proper divisors (36039960).

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

13380840 is a wasteful number, since it uses less digits than its factorization.

13380840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13380840 is about 3657.9830508082. The cubic root of 13380840 is about 237.4075133886.

The spelling of 13380840 in words is "thirteen million, three hundred eighty thousand, eight hundred forty".