13168580 has 24 divisors (see below), whose sum is σ = 27765528. Its totient is φ = 5246208.

The previous prime is 13168579. The next prime is 13168613. The reversal of 13168580 is 8586131.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 13060996 = 328^2 + 3614^2 .

It is a super-2 number, since 2×13168580² = 346822998432800, which contains 22 as substring.

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, 4352 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (1156897).

Almost surely, 2^13168580 is an apocalyptic number.

13168580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13168580 is an abundant number, since it is smaller than the sum of its proper divisors (14596948).

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

13168580 is a wasteful number, since it uses less digits than its factorization.

13168580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 13168580 is about 3628.8538135340. The cubic root of 13168580 is about 236.1454862780.

The spelling of 13168580 in words is "thirteen million, one hundred sixty-eight thousand, five hundred eighty".