8745968 has 80 divisors (see below), whose sum is σ = 21903360. Its totient is φ = 3283200.

The previous prime is 8745929. The next prime is 8745991. The reversal of 8745968 is 8695478.

8745968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

Its product of digits (483840) is a multiple of the sum of its prime divisors (280).

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, 38078 + ... + 38306.

It is an arithmetic number, because the mean of its divisors is an integer number (273792).

Almost surely, 2^8745968 is an apocalyptic number.

8745968 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 8745968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10951680).

8745968 is an abundant number, since it is smaller than the sum of its proper divisors (13157392).

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

8745968 is a wasteful number, since it uses less digits than its factorization.

8745968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 8745968 is about 2957.3582806282. The cubic root of 8745968 is about 206.0326086564.

The spelling of 8745968 in words is "eight million, seven hundred forty-five thousand, nine hundred sixty-eight".