8166921984 has 288 divisors, whose sum is σ = 26304971840. Its totient is φ = 2484338688.

The previous prime is 8166921947. The next prime is 8166922031. The reversal of 8166921984 is 4891296618.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8166921984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8166921984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8715564 + ... + 8716500.

Almost surely, 2^8166921984 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 8166921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152485920).

8166921984 is an abundant number, since it is smaller than the sum of its proper divisors (18138049856).

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

8166921984 is a wasteful number, since it uses less digits than its factorization.

8166921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1052 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 8166921984 is about 90371.0240287228. The cubic root of 8166921984 is about 2013.8145250834.

The spelling of 8166921984 in words is "eight billion, one hundred sixty-six million, nine hundred twenty-one thousand, nine hundred eighty-four".