13118880 has 96 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 3456000.

The previous prime is 13118857. The next prime is 13118881. The reversal of 13118880 is 8881131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×13118880³ (a number of 22 digits) contains 333 as substring.

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 (13118881) 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, 72390 + ... + 72570.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 2^13118880 is an apocalyptic number.

13118880 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 13118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

13118880 is an abundant number, since it is smaller than the sum of its proper divisors (28709088).

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

13118880 is a wasteful number, since it uses less digits than its factorization.

13118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 13118880 is about 3621.9994478188. Note that the first 3 decimals coincide. The cubic root of 13118880 is about 235.8480300940.

The spelling of 13118880 in words is "thirteen million, one hundred eighteen thousand, eight hundred eighty".