8484150160 has 80 divisors (see below), whose sum is σ = 19959548400. Its totient is φ = 3353591808.

The previous prime is 8484150127. The next prime is 8484150221. The reversal of 8484150160 is 610514848.

It can be written as a sum of positive squares in 8 ways, for example, as 94322944 + 8389827216 = 9712^2 + 91596^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983976 + ... + 3986104.

It is an arithmetic number, because the mean of its divisors is an integer number (249494355).

Almost surely, 2^8484150160 is an apocalyptic number.

8484150160 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 8484150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979774200).

8484150160 is an abundant number, since it is smaller than the sum of its proper divisors (11475398240).

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

8484150160 is a wasteful number, since it uses less digits than its factorization.

8484150160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 8484150160 is about 92109.4466382249. The cubic root of 8484150160 is about 2039.5582601135.

The spelling of 8484150160 in words is "eight billion, four hundred eighty-four million, one hundred fifty thousand, one hundred sixty".