13418880 has 128 divisors (see below), whose sum is σ = 44431200. Its totient is φ = 3440640.

The previous prime is 13418879. The next prime is 13418887. The reversal of 13418880 is 8881431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418887) 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, 55560 + ... + 55800.

Almost surely, 2^13418880 is an apocalyptic number.

13418880 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 13418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600).

13418880 is an abundant number, since it is smaller than the sum of its proper divisors (31012320).

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

13418880 is a wasteful number, since it uses less digits than its factorization.

13418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 13418880 is about 3663.1789473079. The cubic root of 13418880 is about 237.6322735015.

The spelling of 13418880 in words is "thirteen million, four hundred eighteen thousand, eight hundred eighty".