8169984000 has 520 divisors, whose sum is σ = 30613436568. Its totient is φ = 2167603200.

The previous prime is 8169983971. The next prime is 8169984007. The reversal of 8169984000 is 4899618.

It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 8074100736 = 9792^2 + 89856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8169984007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471902 + ... + 41472098.

Almost surely, 2^8169984000 is an apocalyptic number.

8169984000 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 8169984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306718284).

8169984000 is an abundant number, since it is smaller than the sum of its proper divisors (22443452568).

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

8169984000 is an equidigital number, since it uses as much as digits as its factorization.

8169984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 207 counting only the distinct ones).

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

The square root of 8169984000 is about 90387.9638004972. The cubic root of 8169984000 is about 2014.0661728002.

The spelling of 8169984000 in words is "eight billion, one hundred sixty-nine million, nine hundred eighty-four thousand".