11796768 has 36 divisors (see below), whose sum is σ = 33547878. Its totient is φ = 3932160.

The previous prime is 11796767. The next prime is 11796773. The reversal of 11796768 is 86769711.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 4112784 = 2772^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11796761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20193 + ... + 20768.

Almost surely, 2^11796768 is an apocalyptic number.

11796768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11796768 is an abundant number, since it is smaller than the sum of its proper divisors (21751110).

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

11796768 is a wasteful number, since it uses less digits than its factorization.

11796768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40977 (or 40966 counting only the distinct ones).

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

The square root of 11796768 is about 3434.6423394584. The cubic root of 11796768 is about 227.6430240209.

The spelling of 11796768 in words is "eleven million, seven hundred ninety-six thousand, seven hundred sixty-eight".