8122968 has 96 divisors (see below), whose sum is σ = 25608960. Its totient is φ = 2278080.

The previous prime is 8122951. The next prime is 8122969. The reversal of 8122968 is 8692218.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8122969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35671 + ... + 35897.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 2^8122968 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 8122968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804480).

8122968 is an abundant number, since it is smaller than the sum of its proper divisors (17485992).

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

8122968 is a wasteful number, since it uses less digits than its factorization.

8122968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8122968 is about 2850.0821040805. The cubic root of 8122968 is about 201.0195273224.

The spelling of 8122968 in words is "eight million, one hundred twenty-two thousand, nine hundred sixty-eight".