11535968 has 48 divisors (see below), whose sum is σ = 24312960. Its totient is φ = 5376000.

The previous prime is 11535941. The next prime is 11535973. The reversal of 11535968 is 86953511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28568 + ... + 28968.

It is an arithmetic number, because the mean of its divisors is an integer number (506520).

Almost surely, 2^11535968 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 11535968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156480).

11535968 is an abundant number, since it is smaller than the sum of its proper divisors (12776992).

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

11535968 is a wasteful number, since it uses less digits than its factorization.

11535968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its digits is 32400, while the sum is 38.

The square root of 11535968 is about 3396.4640436784. The cubic root of 11535968 is about 225.9529491944.

The spelling of 11535968 in words is "eleven million, five hundred thirty-five thousand, nine hundred sixty-eight".