11826240 has 112 divisors (see below), whose sum is σ = 38234112. Its totient is φ = 3096576.

The previous prime is 11826239. The next prime is 11826263. The reversal of 11826240 is 4262811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11826240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93057 + ... + 93183.

It is an arithmetic number, because the mean of its divisors is an integer number (341376).

Almost surely, 2^11826240 is an apocalyptic number.

11826240 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 11826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117056).

11826240 is an abundant number, since it is smaller than the sum of its proper divisors (26407872).

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

11826240 is a wasteful number, since it uses less digits than its factorization.

11826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 11826240 is about 3438.9300661688. The cubic root of 11826240 is about 227.8324407552.

The spelling of 11826240 in words is "eleven million, eight hundred twenty-six thousand, two hundred forty".