11811840 has 88 divisors (see below), whose sum is σ = 37828560. Its totient is φ = 3145728.

The previous prime is 11811797. The next prime is 11811847. The reversal of 11811840 is 4811811.

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 11811840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11811847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14976 + ... + 15744.

It is an arithmetic number, because the mean of its divisors is an integer number (429870).

Almost surely, 2^11811840 is an apocalyptic number.

11811840 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 11811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18914280).

11811840 is an abundant number, since it is smaller than the sum of its proper divisors (26016720).

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

11811840 is an equidigital number, since it uses as much as digits as its factorization.

11811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The square root of 11811840 is about 3436.8357540040. The cubic root of 11811840 is about 227.7399312271.

The spelling of 11811840 in words is "eleven million, eight hundred eleven thousand, eight hundred forty".