11825268 has 144 divisors (see below), whose sum is σ = 36892800. Its totient is φ = 2935296.

The previous prime is 11825257. The next prime is 11825279. The reversal of 11825268 is 86252811.

It is an interprime number because it is at equal distance from previous prime (11825257) and next prime (11825279).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695596 + ... + 695612.

It is an arithmetic number, because the mean of its divisors is an integer number (256200).

Almost surely, 2^11825268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11825268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446400).

11825268 is an abundant number, since it is smaller than the sum of its proper divisors (25067532).

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

11825268 is a wasteful number, since it uses less digits than its factorization.

11825268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 11825268 is about 3438.7887402398. The cubic root of 11825268 is about 227.8261987262.

The spelling of 11825268 in words is "eleven million, eight hundred twenty-five thousand, two hundred sixty-eight".