11786240 has 48 divisors (see below), whose sum is σ = 28304640. Its totient is φ = 4710400.

The previous prime is 11786233. The next prime is 11786261. The reversal of 11786240 is 4268711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9665 + ... + 10815.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^11786240 is an apocalyptic number.

11786240 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 11786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

11786240 is an abundant number, since it is smaller than the sum of its proper divisors (16518400).

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

11786240 is an equidigital number, since it uses as much as digits as its factorization.

11786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 11786240 is about 3433.1093778090. The cubic root of 11786240 is about 227.5752840245.

The spelling of 11786240 in words is "eleven million, seven hundred eighty-six thousand, two hundred forty".