82176120 has 160 divisors (see below), whose sum is σ = 297601920. Its totient is φ = 20217600.

The previous prime is 82176091. The next prime is 82176167. The reversal of 82176120 is 2167128.

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 39 ways as a sum of consecutive naturals, for example, 41145 + ... + 43095.

It is an arithmetic number, because the mean of its divisors is an integer number (1860012).

Almost surely, 2^82176120 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 82176120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800960).

82176120 is an abundant number, since it is smaller than the sum of its proper divisors (215425800).

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

82176120 is a wasteful number, since it uses less digits than its factorization.

82176120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 82176120 is about 9065.1045222876. The cubic root of 82176120 is about 434.7589627778.

The spelling of 82176120 in words is "eighty-two million, one hundred seventy-six thousand, one hundred twenty".