11825360 has 40 divisors (see below), whose sum is σ = 28022760. Its totient is φ = 4639232.

The previous prime is 11825357. The next prime is 11825371. The reversal of 11825360 is 6352811.

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 9096256 = 1652^2 + 3016^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2846 + ... + 5634.

It is an arithmetic number, because the mean of its divisors is an integer number (700569).

Almost surely, 2^11825360 is an apocalyptic number.

11825360 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 11825360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14011380).

11825360 is an abundant number, since it is smaller than the sum of its proper divisors (16197400).

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

11825360 is a wasteful number, since it uses less digits than its factorization.

11825360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 11825360 is about 3438.8021170169. The cubic root of 11825360 is about 227.8267895501.

The spelling of 11825360 in words is "eleven million, eight hundred twenty-five thousand, three hundred sixty".