8183972160 has 672 divisors, whose sum is σ = 36192683520. Its totient is φ = 1725566976.

The previous prime is 8183972077. The next prime is 8183972179. The reversal of 8183972160 is 612793818.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5502937 + ... + 5504423.

It is an arithmetic number, because the mean of its divisors is an integer number (53858160).

Almost surely, 2^8183972160 is an apocalyptic number.

8183972160 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 8183972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18096341760).

8183972160 is an abundant number, since it is smaller than the sum of its proper divisors (28008711360).

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

8183972160 is a wasteful number, since it uses less digits than its factorization.

8183972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8183972160 is about 90465.3091521827. The cubic root of 8183972160 is about 2015.2149721286.

The spelling of 8183972160 in words is "eight billion, one hundred eighty-three million, nine hundred seventy-two thousand, one hundred sixty".