82866168 has 96 divisors (see below), whose sum is σ = 279826560. Its totient is φ = 21522240.

The previous prime is 82866167. The next prime is 82866191. The reversal of 82866168 is 86166828.

82866168 is a `hidden beast` number, since 8 + 28 + 6 + 616 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82866167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930 + ... + 13017.

It is an arithmetic number, because the mean of its divisors is an integer number (2914860).

Almost surely, 2^82866168 is an apocalyptic number.

82866168 is a gapful number since it is divisible by the number (88) 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 82866168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139913280).

82866168 is an abundant number, since it is smaller than the sum of its proper divisors (196960392).

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

82866168 is a wasteful number, since it uses less digits than its factorization.

82866168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14977 (or 14970 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 82866168 is about 9103.0856307079. The cubic root of 82866168 is about 435.9724893564.

The spelling of 82866168 in words is "eighty-two million, eight hundred sixty-six thousand, one hundred sixty-eight".