11880585 has 12 divisors (see below), whose sum is σ = 20593092. Its totient is φ = 6336288.

The previous prime is 11880571. The next prime is 11880587. The reversal of 11880585 is 58508811.

It can be written as a sum of positive squares in 2 ways, for example, as 1710864 + 10169721 = 1308^2 + 3189^2 .

It is not a de Polignac number, because 11880585 - 2⁷ = 11880457 is a prime.

It is a super-2 number, since 2×11880585² = 282296599884450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11880587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131962 + ... + 132051.

It is an arithmetic number, because the mean of its divisors is an integer number (1716091).

Almost surely, 2^11880585 is an apocalyptic number.

11880585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11880585 is a deficient number, since it is larger than the sum of its proper divisors (8712507).

11880585 is a wasteful number, since it uses less digits than its factorization.

11880585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264024 (or 264021 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 36.

The square root of 11880585 is about 3446.8224497354. The cubic root of 11880585 is about 228.1808929162.

The spelling of 11880585 in words is "eleven million, eight hundred eighty thousand, five hundred eighty-five".