8169984 has 100 divisors (see below), whose sum is σ = 24509034. Its totient is φ = 2709504.

The previous prime is 8169983. The next prime is 8169989. The reversal of 8169984 is 4899618.

It can be written as a sum of positive squares in only one way, i.e., 4665600 + 3504384 = 2160^2 + 1872^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8169983) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41374 + ... + 41570.

Almost surely, 2^8169984 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 8169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12254517).

8169984 is an abundant number, since it is smaller than the sum of its proper divisors (16339050).

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

8169984 is an equidigital number, since it uses as much as digits as its factorization.

8169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 202 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 8169984 is about 2858.3183867442. The cubic root of 8169984 is about 201.4066172800.

Adding to 8169984 its product of digits (124416), we get a square (8294400 = 2880²).

The spelling of 8169984 in words is "eight million, one hundred sixty-nine thousand, nine hundred eighty-four".