11782368 has 96 divisors (see below), whose sum is σ = 37044000. Its totient is φ = 3621888.

The previous prime is 11782367. The next prime is 11782369. The reversal of 11782368 is 86328711.

It is an interprime number because it is at equal distance from previous prime (11782367) and next prime (11782369).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11782361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10708 + ... + 11756.

It is an arithmetic number, because the mean of its divisors is an integer number (385875).

Almost surely, 2^11782368 is an apocalyptic number.

11782368 is a gapful number since it is divisible by the number (18) 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 11782368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18522000).

11782368 is an abundant number, since it is smaller than the sum of its proper divisors (25261632).

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

11782368 is a wasteful number, since it uses less digits than its factorization.

11782368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11782368 is about 3432.5454112073. The cubic root of 11782368 is about 227.5503603844.

The spelling of 11782368 in words is "eleven million, seven hundred eighty-two thousand, three hundred sixty-eight".