13583280 has 40 divisors (see below), whose sum is σ = 42108912. Its totient is φ = 3622144.

The previous prime is 13583267. The next prime is 13583293. The reversal of 13583280 is 8238531.

It is a happy number.

13583280 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 (13583267) and next prime (13583293).

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 28059 + ... + 28538.

Almost surely, 2^13583280 is an apocalyptic number.

13583280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13583280 is an abundant number, since it is smaller than the sum of its proper divisors (28525632).

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

13583280 is a wasteful number, since it uses less digits than its factorization.

13583280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56613 (or 56607 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 13583280 is about 3685.5501624588. The cubic root of 13583280 is about 238.5987794531.

The spelling of 13583280 in words is "thirteen million, five hundred eighty-three thousand, two hundred eighty".