13585376 has 24 divisors (see below), whose sum is σ = 30567600. Its totient is φ = 5822208.

The previous prime is 13585339. The next prime is 13585379. The reversal of 13585376 is 67358531.

It is a super-2 number, since 2×13585376² = 369124882122752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30101 + ... + 30548.

It is an arithmetic number, because the mean of its divisors is an integer number (1273650).

Almost surely, 2^13585376 is an apocalyptic number.

13585376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13585376 is an abundant number, since it is smaller than the sum of its proper divisors (16982224).

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

13585376 is an equidigital number, since it uses as much as digits as its factorization.

13585376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60666 (or 60658 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 13585376 is about 3685.8345052376. The cubic root of 13585376 is about 238.6110513373.

The spelling of 13585376 in words is "thirteen million, five hundred eighty-five thousand, three hundred seventy-six".