13585536 has 64 divisors (see below), whose sum is σ = 40106400. Its totient is φ = 4527360.

The previous prime is 13585511. The next prime is 13585541. The reversal of 13585536 is 63558531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13585536.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1491 + ... + 5421.

Almost surely, 2^13585536 is an apocalyptic number.

13585536 is a gapful number since it is divisible by the number (16) 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 13585536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20053200).

13585536 is an abundant number, since it is smaller than the sum of its proper divisors (26520864).

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

13585536 is an equidigital number, since it uses as much as digits as its factorization.

13585536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3936 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 13585536 is about 3685.8562098921. The cubic root of 13585536 is about 238.6119880705.

The spelling of 13585536 in words is "thirteen million, five hundred eighty-five thousand, five hundred thirty-six".