13829580 has 36 divisors (see below), whose sum is σ = 41950272. Its totient is φ = 3687840.

The previous prime is 13829579. The next prime is 13829591. The reversal of 13829580 is 8592831.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 38236 + ... + 38595.

Almost surely, 2^13829580 is an apocalyptic number.

13829580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13829580 is an abundant number, since it is smaller than the sum of its proper divisors (28120692).

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

13829580 is a wasteful number, since it uses less digits than its factorization.

13829580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76846 (or 76841 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13829580 is about 3718.8143271747. The cubic root of 13829580 is about 240.0322873228.

The spelling of 13829580 in words is "thirteen million, eight hundred twenty-nine thousand, five hundred eighty".