8082128160 has 120 divisors (see below), whose sum is σ = 28523223036. Its totient is φ = 2155230720.

The previous prime is 8082128147. The next prime is 8082128183. The reversal of 8082128160 is 618212808.

It can be written as a sum of positive squares in 2 ways, for example, as 7722191376 + 359936784 = 87876^2 + 18972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 298851 + ... + 324770.

Almost surely, 2^8082128160 is an apocalyptic number.

8082128160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8082128160 is an abundant number, since it is smaller than the sum of its proper divisors (20441094876).

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

8082128160 is a wasteful number, since it uses less digits than its factorization.

8082128160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623648 (or 623631 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8082128160 is about 89900.6571722365. The cubic root of 8082128160 is about 2006.8207257405.

The spelling of 8082128160 in words is "eight billion, eighty-two million, one hundred twenty-eight thousand, one hundred sixty".