11782848 has 112 divisors (see below), whose sum is σ = 38916864. Its totient is φ = 3056640.

The previous prime is 11782847. The next prime is 11782861. The reversal of 11782848 is 84828711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11782848² = 277671013982208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11782847) 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, 14386 + ... + 15182.

It is an arithmetic number, because the mean of its divisors is an integer number (347472).

Almost surely, 2^11782848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11782848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432).

11782848 is an abundant number, since it is smaller than the sum of its proper divisors (27134016).

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

11782848 is a wasteful number, since it uses less digits than its factorization.

11782848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 11782848 is about 3432.6153294536. The cubic root of 11782848 is about 227.5534503883.

The spelling of 11782848 in words is "eleven million, seven hundred eighty-two thousand, eight hundred forty-eight".