11735968 has 24 divisors (see below), whose sum is σ = 23282532. Its totient is φ = 5822976.

The previous prime is 11735959. The next prime is 11735987. The reversal of 11735968 is 86953711.

11735968 = 222² + 223² + ... + 358².

It can be written as a sum of positive squares in 2 ways, for example, as 10837264 + 898704 = 3292^2 + 948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11735968.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3046 + ... + 5722.

Almost surely, 2^11735968 is an apocalyptic number.

It is an amenable number.

11735968 is a deficient number, since it is larger than the sum of its proper divisors (11546564).

11735968 is a wasteful number, since it uses less digits than its factorization.

11735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2816 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The square root of 11735968 is about 3425.7799112027. The cubic root of 11735968 is about 227.2512629814.

The spelling of 11735968 in words is "eleven million, seven hundred thirty-five thousand, nine hundred sixty-eight".