82128060 has 96 divisors (see below), whose sum is σ = 292024320. Its totient is φ = 18771264.

The previous prime is 82128041. The next prime is 82128077. The reversal of 82128060 is 6082128.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7084 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (3041920).

Almost surely, 2^82128060 is an apocalyptic number.

It is an amenable number.

82128060 is an abundant number, since it is smaller than the sum of its proper divisors (209896260).

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

82128060 is a wasteful number, since it uses less digits than its factorization.

82128060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21752 (or 21744 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 82128060 is about 9062.4533102246. The cubic root of 82128060 is about 434.6741912310.

The spelling of 82128060 in words is "eighty-two million, one hundred twenty-eight thousand, sixty".