8745984 has 132 divisors (see below), whose sum is σ = 27568996. Its totient is φ = 2654208.

The previous prime is 8745929. The next prime is 8745991. The reversal of 8745984 is 4895478.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 5760000 = 1728^2 + 2400^2 .

It is a super-2 number, since 2×8745984² = 152984472256512, which contains 22 as substring.

Its product of digits (322560) is a multiple of the sum of its prime factors (112).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 119772 + ... + 119844.

Almost surely, 2^8745984 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 8745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13784498).

8745984 is an abundant number, since it is smaller than the sum of its proper divisors (18823012).

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

8745984 is a wasteful number, since it uses less digits than its factorization.

8745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 8745984 is about 2957.3609857439. The cubic root of 8745984 is about 206.0327342960.

The spelling of 8745984 in words is "eight million, seven hundred forty-five thousand, nine hundred eighty-four".