8275968 has 72 divisors (see below), whose sum is σ = 23955750. Its totient is φ = 2752512.

The previous prime is 8275903. The next prime is 8275987. The reversal of 8275968 is 8695728.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 1557504 = 2592^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18208 + ... + 18656.

Almost surely, 2^8275968 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 8275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977875).

8275968 is an abundant number, since it is smaller than the sum of its proper divisors (15679782).

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

8275968 is a wasteful number, since it uses less digits than its factorization.

8275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 8275968 is about 2876.7982202442. The cubic root of 8275968 is about 202.2737848808.

The spelling of 8275968 in words is "eight million, two hundred seventy-five thousand, nine hundred sixty-eight".