13805880 has 64 divisors (see below), whose sum is σ = 45187200. Its totient is φ = 3346560.

The previous prime is 13805873. The next prime is 13805899. The reversal of 13805880 is 8850831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3910 + ... + 6549.

It is an arithmetic number, because the mean of its divisors is an integer number (706050).

Almost surely, 2^13805880 is an apocalyptic number.

13805880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13805880 is an abundant number, since it is smaller than the sum of its proper divisors (31381320).

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

13805880 is a wasteful number, since it uses less digits than its factorization.

13805880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 13805880 is about 3715.6264613117. The cubic root of 13805880 is about 239.8950930394.

It can be divided in two parts, 1380 and 5880, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 13805880 in words is "thirteen million, eight hundred five thousand, eight hundred eighty".