11976768 has 112 divisors (see below), whose sum is σ = 36576000. Its totient is φ = 3838464.

The previous prime is 11976761. The next prime is 11976773. The reversal of 11976768 is 86767911.

It is not an unprimeable number, because it can be changed into a prime (11976761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49993 + ... + 50231.

Almost surely, 2^11976768 is an apocalyptic number.

11976768 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 11976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288000).

11976768 is an abundant number, since it is smaller than the sum of its proper divisors (24599232).

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

11976768 is a wasteful number, since it uses less digits than its factorization.

11976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 11976768 is about 3460.7467402282. The cubic root of 11976768 is about 228.7950086120.

The spelling of 11976768 in words is "eleven million, nine hundred seventy-six thousand, seven hundred sixty-eight".