8293968 has 80 divisors (see below), whose sum is σ = 24224640. Its totient is φ = 2716416.

The previous prime is 8293939. The next prime is 8293979. The reversal of 8293968 is 8693928.

8293968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31405 + ... + 31667.

It is an arithmetic number, because the mean of its divisors is an integer number (302808).

Almost surely, 2^8293968 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 8293968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12112320).

8293968 is an abundant number, since it is smaller than the sum of its proper divisors (15930672).

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

8293968 is a wasteful number, since it uses less digits than its factorization.

8293968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 8293968 is about 2879.9249990234. The cubic root of 8293968 is about 202.4203253086.

It can be divided in two parts, 8293 and 968, that added together give a cube (9261 = 21³).

The spelling of 8293968 in words is "eight million, two hundred ninety-three thousand, nine hundred sixty-eight".