10791968 has 96 divisors (see below), whose sum is σ = 25546752. Its totient is φ = 4435200.

The previous prime is 10791967. The next prime is 10791983. The reversal of 10791968 is 86919701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10791961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250955 + ... + 250997.

It is an arithmetic number, because the mean of its divisors is an integer number (266112).

Almost surely, 2^10791968 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 10791968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773376).

10791968 is an abundant number, since it is smaller than the sum of its proper divisors (14754784).

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

10791968 is a wasteful number, since it uses less digits than its factorization.

10791968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 41.

The square root of 10791968 is about 3285.1130878556. The cubic root of 10791968 is about 220.9870797713.

The spelling of 10791968 in words is "ten million, seven hundred ninety-one thousand, nine hundred sixty-eight".