13585670 has 32 divisors (see below), whose sum is σ = 28074816. Its totient is φ = 4636800.

The previous prime is 13585667. The next prime is 13585673. The reversal of 13585670 is 7658531.

13585670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13585667) and next prime (13585673).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13585670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29240 + ... + 29700.

It is an arithmetic number, because the mean of its divisors is an integer number (877338).

Almost surely, 2^13585670 is an apocalyptic number.

13585670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13585670 is an abundant number, since it is smaller than the sum of its proper divisors (14489146).

13585670 is a wasteful number, since it uses less digits than its factorization.

13585670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 13585670 is about 3685.8743874419. The cubic root of 13585670 is about 238.6127725789.

The spelling of 13585670 in words is "thirteen million, five hundred eighty-five thousand, six hundred seventy".