8239968 has 180 divisors, whose sum is σ = 28083132. Its totient is φ = 2350080.

The previous prime is 8239967. The next prime is 8239969. The reversal of 8239968 is 8699328.

It is an interprime number because it is at equal distance from previous prime (8239967) and next prime (8239969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8239967) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 484696 + ... + 484712.

Almost surely, 2^8239968 is an apocalyptic number.

8239968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041566).

8239968 is an abundant number, since it is smaller than the sum of its proper divisors (19843164).

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

8239968 is a wasteful number, since it uses less digits than its factorization.

8239968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 33 counting only the distinct ones).

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

The square root of 8239968 is about 2870.5344450119. The cubic root of 8239968 is about 201.9800653464.

The spelling of 8239968 in words is "eight million, two hundred thirty-nine thousand, nine hundred sixty-eight".