13585080 has 32 divisors (see below), whose sum is σ = 40755600. Its totient is φ = 3622656.

The previous prime is 13585073. The next prime is 13585097. The reversal of 13585080 is 8058531.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56485 + ... + 56724.

Almost surely, 2^13585080 is an apocalyptic number.

13585080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13585080 is an abundant number, since it is smaller than the sum of its proper divisors (27170520).

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

13585080 is a wasteful number, since it uses less digits than its factorization.

13585080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113223 (or 113219 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 13585080 is about 3685.7943512898. The cubic root of 13585080 is about 238.6093183615.

The spelling of 13585080 in words is "thirteen million, five hundred eighty-five thousand, eighty".