11541968 has 20 divisors (see below), whose sum is σ = 23540160. Its totient is φ = 5467104.

The previous prime is 11541967. The next prime is 11541989. The reversal of 11541968 is 86914511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11541967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18680 + ... + 19287.

It is an arithmetic number, because the mean of its divisors is an integer number (1177008).

Almost surely, 2^11541968 is an apocalyptic number.

It is an amenable number.

11541968 is an abundant number, since it is smaller than the sum of its proper divisors (11998192).

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

11541968 is a wasteful number, since it uses less digits than its factorization.

11541968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37994 (or 37988 counting only the distinct ones).

The product of its digits is 8640, while the sum is 35.

The square root of 11541968 is about 3397.3472003903. The cubic root of 11541968 is about 225.9921160484.

The spelling of 11541968 in words is "eleven million, five hundred forty-one thousand, nine hundred sixty-eight".