13820880 has 40 divisors (see below), whose sum is σ = 42845472. Its totient is φ = 3685504.

The previous prime is 13820857. The next prime is 13820887. The reversal of 13820880 is 8802831.

13820880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 (13820887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28554 + ... + 29033.

Almost surely, 2^13820880 is an apocalyptic number.

13820880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13820880 is an abundant number, since it is smaller than the sum of its proper divisors (29024592).

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

13820880 is a wasteful number, since it uses less digits than its factorization.

13820880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57603 (or 57597 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 13820880 is about 3717.6444154868. The cubic root of 13820880 is about 239.9819430859.

The spelling of 13820880 in words is "thirteen million, eight hundred twenty thousand, eight hundred eighty".