10275968 has 32 divisors (see below), whose sum is σ = 20958960. Its totient is φ = 5015808.

The previous prime is 10275961. The next prime is 10275983. The reversal of 10275968 is 86957201.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10275961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4571 + ... + 6437.

Almost surely, 2^10275968 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 10275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479480).

10275968 is an abundant number, since it is smaller than the sum of its proper divisors (10682992).

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

10275968 is an equidigital number, since it uses as much as digits as its factorization.

10275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 10275968 is about 3205.6150735857. The cubic root of 10275968 is about 217.4073626723.

The spelling of 10275968 in words is "ten million, two hundred seventy-five thousand, nine hundred sixty-eight".