11782260 has 120 divisors (see below), whose sum is σ = 42282240. Its totient is φ = 2690496.

The previous prime is 11782231. The next prime is 11782291. The reversal of 11782260 is 6228711.

11782260 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10821 + ... + 11859.

It is an arithmetic number, because the mean of its divisors is an integer number (352352).

Almost surely, 2^11782260 is an apocalyptic number.

11782260 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 11782260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21141120).

11782260 is an abundant number, since it is smaller than the sum of its proper divisors (30499980).

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

11782260 is a wasteful number, since it uses less digits than its factorization.

11782260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11782260 is about 3432.5296794056. The cubic root of 11782260 is about 227.5496651220.

The spelling of 11782260 in words is "eleven million, seven hundred eighty-two thousand, two hundred sixty".