7865968 has 60 divisors (see below), whose sum is σ = 17811360. Its totient is φ = 3351040.

The previous prime is 7865959. The next prime is 7865983. The reversal of 7865968 is 8695687.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32793 + ... + 33031.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 2^7865968 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 7865968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905680).

7865968 is an abundant number, since it is smaller than the sum of its proper divisors (9945392).

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

7865968 is a wasteful number, since it uses less digits than its factorization.

7865968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 7865968 is about 2804.6333093651. The cubic root of 7865968 is about 198.8767702506.

The spelling of 7865968 in words is "seven million, eight hundred sixty-five thousand, nine hundred sixty-eight".