12085760 has 40 divisors (see below), whose sum is σ = 28983636. Its totient is φ = 4833280.

The previous prime is 12085727. The next prime is 12085763. The reversal of 12085760 is 6758021.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 30976 = 3472^2 + 176^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12085763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200 + ... + 4920.

Almost surely, 2^12085760 is an apocalyptic number.

12085760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491818).

12085760 is an abundant number, since it is smaller than the sum of its proper divisors (16897876).

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

12085760 is an frugal number, since it uses more digits than its factorization.

12085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 12085760 is about 3476.4579675296. The cubic root of 12085760 is about 229.4869471393.

The spelling of 12085760 in words is "twelve million, eighty-five thousand, seven hundred sixty".