11797968 has 160 divisors (see below), whose sum is σ = 39053056. Its totient is φ = 2985984.

The previous prime is 11797967. The next prime is 11797979. The reversal of 11797968 is 86979711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11797967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161580 + ... + 161652.

Almost surely, 2^11797968 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 11797968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19526528).

11797968 is an abundant number, since it is smaller than the sum of its proper divisors (27255088).

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

11797968 is a wasteful number, since it uses less digits than its factorization.

11797968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 190512, while the sum is 48.

The square root of 11797968 is about 3434.8170256944. The cubic root of 11797968 is about 227.6507425860.

The spelling of 11797968 in words is "eleven million, seven hundred ninety-seven thousand, nine hundred sixty-eight".