13838480 has 20 divisors (see below), whose sum is σ = 32174652. Its totient is φ = 5535360.

The previous prime is 13838453. The next prime is 13838483. The reversal of 13838480 is 8483831.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 9709456 = 2032^2 + 3116^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13838480.

It is not an unprimeable number, because it can be changed into a prime (13838483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86411 + ... + 86570.

Almost surely, 2^13838480 is an apocalyptic number.

13838480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13838480 is an abundant number, since it is smaller than the sum of its proper divisors (18336172).

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

13838480 is a wasteful number, since it uses less digits than its factorization.

13838480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172994 (or 172988 counting only the distinct ones).

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

The square root of 13838480 is about 3720.0107526726. The cubic root of 13838480 is about 240.0837670557.

The spelling of 13838480 in words is "thirteen million, eight hundred thirty-eight thousand, four hundred eighty".