11782496 has 72 divisors (see below), whose sum is σ = 27147960. Its totient is φ = 5012480.

The previous prime is 11782487. The next prime is 11782501. The reversal of 11782496 is 69428711.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 65735 + ... + 65913.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^11782496 is an apocalyptic number.

11782496 is a gapful number since it is divisible by the number (16) 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 11782496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573980).

11782496 is an abundant number, since it is smaller than the sum of its proper divisors (15365464).

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

11782496 is a wasteful number, since it uses less digits than its factorization.

11782496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 11782496 is about 3432.5640562122. The cubic root of 11782496 is about 227.5511843937.

The spelling of 11782496 in words is "eleven million, seven hundred eighty-two thousand, four hundred ninety-six".