13580496 has 30 divisors (see below), whose sum is σ = 38006930. Its totient is φ = 4526784.

The previous prime is 13580429. The next prime is 13580507. The reversal of 13580496 is 69408531.

13580496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13220496 + 360000 = 3636^2 + 600^2 .

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 13580496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47011 + ... + 47298.

Almost surely, 2^13580496 is an apocalyptic number.

13580496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13580496 is an abundant number, since it is smaller than the sum of its proper divisors (24426434).

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

13580496 is a wasteful number, since it uses less digits than its factorization.

13580496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94323 (or 94314 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13580496 is about 3685.1724518671. The cubic root of 13580496 is about 238.5824774409.

The spelling of 13580496 in words is "thirteen million, five hundred eighty thousand, four hundred ninety-six".