11825280 has 96 divisors (see below), whose sum is σ = 40854060. Its totient is φ = 3151872.

The previous prime is 11825279. The next prime is 11825287. The reversal of 11825280 is 8252811.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 46656 = 3432^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11825287) 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, 4734 + ... + 6786.

Almost surely, 2^11825280 is an apocalyptic number.

11825280 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 11825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20427030).

11825280 is an abundant number, since it is smaller than the sum of its proper divisors (29028780).

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

11825280 is a wasteful number, since it uses less digits than its factorization.

11825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 11825280 is about 3438.7904850398. The cubic root of 11825280 is about 227.8262757903.

It can be divided in two parts, 1 and 1825280, that added together give a palindrome (1825281).

The spelling of 11825280 in words is "eleven million, eight hundred twenty-five thousand, two hundred eighty".