10915968 has 128 divisors (see below), whose sum is σ = 34467840. Its totient is φ = 2995200.

The previous prime is 10915951. The next prime is 10915973. The reversal of 10915968 is 86951901.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83263 + ... + 83393.

It is an arithmetic number, because the mean of its divisors is an integer number (269280).

Almost surely, 2^10915968 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 10915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17233920).

10915968 is an abundant number, since it is smaller than the sum of its proper divisors (23551872).

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

10915968 is a wasteful number, since it uses less digits than its factorization.

10915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 10915968 is about 3303.9322026942. The cubic root of 10915968 is about 221.8302411334.

The spelling of 10915968 in words is "ten million, nine hundred fifteen thousand, nine hundred sixty-eight".