10295968 has 48 divisors (see below), whose sum is σ = 21337344. Its totient is φ = 4884480.

The previous prime is 10295959. The next prime is 10295969. The reversal of 10295968 is 86959201.

It is a self number, because there is not a number n which added to its sum of digits gives 10295968.

It is not an unprimeable number, because it can be changed into a prime (10295969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96171 + ... + 96277.

It is an arithmetic number, because the mean of its divisors is an integer number (444528).

Almost surely, 2^10295968 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 10295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668672).

10295968 is an abundant number, since it is smaller than the sum of its proper divisors (11041376).

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

10295968 is a wasteful number, since it uses less digits than its factorization.

10295968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 10295968 is about 3208.7330833212. The cubic root of 10295968 is about 217.5483170941.

The spelling of 10295968 in words is "ten million, two hundred ninety-five thousand, nine hundred sixty-eight".