13585630 has 32 divisors (see below), whose sum is σ = 25660800. Its totient is φ = 5171712.

The previous prime is 13585613. The next prime is 13585631. The reversal of 13585630 is 3658531.

It is a junction number, because it is equal to n+sod(n) for n = 13585592 and 13585601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585631) 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, 22614 + ... + 23206.

It is an arithmetic number, because the mean of its divisors is an integer number (801900).

Almost surely, 2^13585630 is an apocalyptic number.

13585630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13585630 is a deficient number, since it is larger than the sum of its proper divisors (12075170).

13585630 is a wasteful number, since it uses less digits than its factorization.

13585630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 13585630 is about 3685.8689613170. The cubic root of 13585630 is about 238.6125383979.

The spelling of 13585630 in words is "thirteen million, five hundred eighty-five thousand, six hundred thirty".