11256580 has 24 divisors (see below), whose sum is σ = 23767128. Its totient is φ = 4478208.

The previous prime is 11256577. The next prime is 11256589. The reversal of 11256580 is 8565211.

It can be written as a sum of positive squares in 4 ways, for example, as 5026564 + 6230016 = 2242^2 + 2496^2 .

It is not an unprimeable number, because it can be changed into a prime (11256589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2512 + ... + 5368.

It is an arithmetic number, because the mean of its divisors is an integer number (990297).

Almost surely, 2^11256580 is an apocalyptic number.

11256580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11256580 is an abundant number, since it is smaller than the sum of its proper divisors (12510548).

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

11256580 is a wasteful number, since it uses less digits than its factorization.

11256580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 11256580 is about 3355.0827113500. The cubic root of 11256580 is about 224.1139142110.

The spelling of 11256580 in words is "eleven million, two hundred fifty-six thousand, five hundred eighty".