13365880 has 64 divisors (see below), whose sum is σ = 33734880. Its totient is φ = 4723200.

The previous prime is 13365817. The next prime is 13365883. The reversal of 13365880 is 8856331.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13365883) 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, 15870 + ... + 16690.

Almost surely, 2^13365880 is an apocalyptic number.

13365880 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 13365880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867440).

13365880 is an abundant number, since it is smaller than the sum of its proper divisors (20369000).

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

13365880 is a wasteful number, since it uses less digits than its factorization.

13365880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 13365880 is about 3655.9376362296. The cubic root of 13365880 is about 237.3190052229.

The spelling of 13365880 in words is "thirteen million, three hundred sixty-five thousand, eight hundred eighty".