8968320 has 160 divisors (see below), whose sum is σ = 32212620. Its totient is φ = 2377728.

The previous prime is 8968303. The next prime is 8968339. The reversal of 8968320 is 238698.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 254016 = 2952^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

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 19 ways as a sum of consecutive naturals, for example, 51754 + ... + 51926.

Almost surely, 2^8968320 is an apocalyptic number.

8968320 is a gapful number since it is divisible by the number (80) 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 8968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106310).

8968320 is an abundant number, since it is smaller than the sum of its proper divisors (23244300).

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

8968320 is a wasteful number, since it uses less digits than its factorization.

8968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8968320 is about 2994.7153454043. The cubic root of 8968320 is about 207.7640322078.

It can be divided in two parts, 896 and 8320, that added together give a square (9216 = 96²).

The spelling of 8968320 in words is "eight million, nine hundred sixty-eight thousand, three hundred twenty".