11782540 has 72 divisors (see below), whose sum is σ = 31428432. Its totient is φ = 3669120.

The previous prime is 11782523. The next prime is 11782541. The reversal of 11782540 is 4528711.

11782540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11782499 and 11782508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11782541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10234 + ... + 11326.

It is an arithmetic number, because the mean of its divisors is an integer number (436506).

Almost surely, 2^11782540 is an apocalyptic number.

11782540 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 11782540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714216).

11782540 is an abundant number, since it is smaller than the sum of its proper divisors (19645892).

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

11782540 is a wasteful number, since it uses less digits than its factorization.

11782540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 11782540 is about 3432.5704654093. The cubic root of 11782540 is about 227.5514676455.

The spelling of 11782540 in words is "eleven million, seven hundred eighty-two thousand, five hundred forty".