10711968 has 48 divisors (see below), whose sum is σ = 28296576. Its totient is φ = 3548160.

The previous prime is 10711937. The next prime is 10711973. The reversal of 10711968 is 86911701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10711968² = 229492516866048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22905 + ... + 23367.

It is an arithmetic number, because the mean of its divisors is an integer number (589512).

Almost surely, 2^10711968 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 10711968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148288).

10711968 is an abundant number, since it is smaller than the sum of its proper divisors (17584608).

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

10711968 is a wasteful number, since it uses less digits than its factorization.

10711968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 10711968 is about 3272.9142976864. The cubic root of 10711968 is about 220.4396716916.

The spelling of 10711968 in words is "ten million, seven hundred eleven thousand, nine hundred sixty-eight".