11832768 has 42 divisors (see below), whose sum is σ = 33918144. Its totient is φ = 3944064.

The previous prime is 11832757. The next prime is 11832773. The reversal of 11832768 is 86723811.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9696 + ... + 10847.

Almost surely, 2^11832768 is an apocalyptic number.

11832768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11832768 is an abundant number, since it is smaller than the sum of its proper divisors (22085376).

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

11832768 is a wasteful number, since it uses less digits than its factorization.

11832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20561 (or 20548 counting only the distinct ones).

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

The square root of 11832768 is about 3439.8790676418. The cubic root of 11832768 is about 227.8743536708.

The spelling of 11832768 in words is "eleven million, eight hundred thirty-two thousand, seven hundred sixty-eight".