13585260 has 48 divisors (see below), whose sum is σ = 40967136. Its totient is φ = 3343872.

The previous prime is 13585259. The next prime is 13585279. The reversal of 13585260 is 6258531.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 7929 + ... + 9488.

It is an arithmetic number, because the mean of its divisors is an integer number (853482).

Almost surely, 2^13585260 is an apocalyptic number.

13585260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13585260 is an abundant number, since it is smaller than the sum of its proper divisors (27381876).

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

13585260 is a wasteful number, since it uses less digits than its factorization.

13585260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17442 (or 17440 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 13585260 is about 3685.8187692832. The cubic root of 13585260 is about 238.6103722012.

The spelling of 13585260 in words is "thirteen million, five hundred eighty-five thousand, two hundred sixty".