82047168 has 420 divisors, whose sum is σ = 315330840. Its totient is φ = 20901888.

The previous prime is 82047157. The next prime is 82047169. The reversal of 82047168 is 86174028.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82047169) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4318263 + ... + 4318281.

Almost surely, 2^82047168 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 82047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157665420).

82047168 is an abundant number, since it is smaller than the sum of its proper divisors (233283672).

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

82047168 is a wasteful number, since it uses less digits than its factorization.

82047168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82047168 is about 9057.9891808282. The cubic root of 82047168 is about 434.5314336272.

It can be divided in two parts, 82047 and 168, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 82047168 in words is "eighty-two million, forty-seven thousand, one hundred sixty-eight".