11787840 has 84 divisors (see below), whose sum is σ = 40555164. Its totient is φ = 3142656.

The previous prime is 11787767. The next prime is 11787857. The reversal of 11787840 is 4878711.

11787840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 7225344 = 2136^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11787795 and 11787804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 4926.

Almost surely, 2^11787840 is an apocalyptic number.

11787840 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 11787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20277582).

11787840 is an abundant number, since it is smaller than the sum of its proper divisors (28767324).

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

11787840 is a wasteful number, since it uses less digits than its factorization.

11787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 11787840 is about 3433.3423948100. The cubic root of 11787840 is about 227.5855814555.

The spelling of 11787840 in words is "eleven million, seven hundred eighty-seven thousand, eight hundred forty".