11982768 has 80 divisors (see below), whose sum is σ = 37259520. Its totient is φ = 3241728.

The previous prime is 11982721. The next prime is 11982781. The reversal of 11982768 is 86728911.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5446 + ... + 7322.

It is an arithmetic number, because the mean of its divisors is an integer number (465744).

Almost surely, 2^11982768 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 11982768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629760).

11982768 is an abundant number, since it is smaller than the sum of its proper divisors (25276752).

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

11982768 is a wasteful number, since it uses less digits than its factorization.

11982768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 11982768 is about 3461.6134966226. The cubic root of 11982768 is about 228.8332087028.

The spelling of 11982768 in words is "eleven million, nine hundred eighty-two thousand, seven hundred sixty-eight".