13585280 has 32 divisors (see below), whose sum is σ = 32478840. Its totient is φ = 5433856.

The previous prime is 13585279. The next prime is 13585289. The reversal of 13585280 is 8258531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9974 + ... + 11253.

Almost surely, 2^13585280 is an apocalyptic number.

13585280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13585280 is an abundant number, since it is smaller than the sum of its proper divisors (18893560).

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

13585280 is an equidigital number, since it uses as much as digits as its factorization.

13585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21246 (or 21234 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 13585280 is about 3685.8214823835. The cubic root of 13585280 is about 238.6104892939.

The spelling of 13585280 in words is "thirteen million, five hundred eighty-five thousand, two hundred eighty".