13860880 has 80 divisors (see below), whose sum is σ = 37051200. Its totient is φ = 4769280.

The previous prime is 13860877. The next prime is 13860883. The reversal of 13860880 is 8806831.

It is an interprime number because it is at equal distance from previous prime (13860877) and next prime (13860883).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13860883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16306 + ... + 17134.

It is an arithmetic number, because the mean of its divisors is an integer number (463140).

Almost surely, 2^13860880 is an apocalyptic number.

13860880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13860880 is the 3040-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13860880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18525600).

13860880 is an abundant number, since it is smaller than the sum of its proper divisors (23190320).

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

13860880 is a wasteful number, since it uses less digits than its factorization.

13860880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 13860880 is about 3723.0202792894. The cubic root of 13860880 is about 240.2132364125.

The spelling of 13860880 in words is "thirteen million, eight hundred sixty thousand, eight hundred eighty".