8507968 has 42 divisors (see below), whose sum is σ = 19646646. Its totient is φ = 3644928.

The previous prime is 8507959. The next prime is 8508011. The reversal of 8507968 is 8697058.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8479744 + 28224 = 2912^2 + 168^2 .

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 5 ways as a sum of consecutive naturals, for example, 1780 + ... + 4492.

Almost surely, 2^8507968 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 8507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823323).

8507968 is an abundant number, since it is smaller than the sum of its proper divisors (11138678).

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

8507968 is a wasteful number, since it uses less digits than its factorization.

8507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 8507968 is about 2916.8421280556. The cubic root of 8507968 is about 204.1465050386.

The spelling of 8507968 in words is "eight million, five hundred seven thousand, nine hundred sixty-eight".