13585340 has 48 divisors (see below), whose sum is σ = 30088800. Its totient is φ = 5144832.

The previous prime is 13585339. The next prime is 13585379. The reversal of 13585340 is 4358531.

It is a super-2 number, since 2×13585340² = 369122925831200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34022 + ... + 34418.

It is an arithmetic number, because the mean of its divisors is an integer number (626850).

Almost surely, 2^13585340 is an apocalyptic number.

13585340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13585340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044400).

13585340 is an abundant number, since it is smaller than the sum of its proper divisors (16503460).

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

13585340 is a wasteful number, since it uses less digits than its factorization.

13585340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 13585340 is about 3685.8296216727. The cubic root of 13585340 is about 238.6108405713.

The spelling of 13585340 in words is "thirteen million, five hundred eighty-five thousand, three hundred forty".