13116840 has 128 divisors (see below), whose sum is σ = 45273600. Its totient is φ = 3006720.

The previous prime is 13116839. The next prime is 13116841. The reversal of 13116840 is 4861131.

It is an interprime number because it is at equal distance from previous prime (13116839) and next prime (13116841).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13116840.

It is not an unprimeable number, because it can be changed into a prime (13116841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24819 + ... + 25341.

It is an arithmetic number, because the mean of its divisors is an integer number (353700).

Almost surely, 2^13116840 is an apocalyptic number.

13116840 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 13116840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636800).

13116840 is an abundant number, since it is smaller than the sum of its proper divisors (32156760).

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

13116840 is a wasteful number, since it uses less digits than its factorization.

13116840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 13116840 is about 3621.7178244584. The cubic root of 13116840 is about 235.8358045859.

13116840 divided by its sum of digits (24) gives a triangular number (546535 = T₁₀₄₅).

Adding to 13116840 its reverse (4861131), we get a palindrome (17977971).

The spelling of 13116840 in words is "thirteen million, one hundred sixteen thousand, eight hundred forty".