13834880 has 32 divisors (see below), whose sum is σ = 33075540. Its totient is φ = 5533696.

The previous prime is 13834871. The next prime is 13834921. The reversal of 13834880 is 8843831.

It can be written as a sum of positive squares in 2 ways, for example, as 13017664 + 817216 = 3608^2 + 904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×13834880² = 382807809228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13834880.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10169 + ... + 11448.

Almost surely, 2^13834880 is an apocalyptic number.

13834880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13834880 is an abundant number, since it is smaller than the sum of its proper divisors (19240660).

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

13834880 is an equidigital number, since it uses as much as digits as its factorization.

13834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21636 (or 21624 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 13834880 is about 3719.5268516305. The cubic root of 13834880 is about 240.0629464521.

The spelling of 13834880 in words is "thirteen million, eight hundred thirty-four thousand, eight hundred eighty".