11505968 has 20 divisors (see below), whose sum is σ = 22600488. Its totient is φ = 5673600.

The previous prime is 11505961. The next prime is 11505971. The reversal of 11505968 is 86950511.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11505961) 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 3 ways as a sum of consecutive naturals, for example, 3758 + ... + 6093.

Almost surely, 2^11505968 is an apocalyptic number.

It is an amenable number.

11505968 is a deficient number, since it is larger than the sum of its proper divisors (11094520).

11505968 is an equidigital number, since it uses as much as digits as its factorization.

11505968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9926 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 11505968 is about 3392.0448110248. The cubic root of 11505968 is about 225.7569109418.

It can be divided in two parts, 11505 and 968, that multiplied together give a triangular number (11136840 = T₄₇₁₉).

The spelling of 11505968 in words is "eleven million, five hundred five thousand, nine hundred sixty-eight".