82168020 has 288 divisors, whose sum is σ = 297198720. Its totient is φ = 18869760.

The previous prime is 82168001. The next prime is 82168033. The reversal of 82168020 is 2086128.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1550314 + ... + 1550366.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^82168020 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 82168020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

82168020 is an abundant number, since it is smaller than the sum of its proper divisors (215030700).

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

82168020 is a wasteful number, since it uses less digits than its factorization.

82168020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

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

The square root of 82168020 is about 9064.6577431252. The cubic root of 82168020 is about 434.7446777547.

The spelling of 82168020 in words is "eighty-two million, one hundred sixty-eight thousand, twenty".