82887168 has 160 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 21823488.

The previous prime is 82887157. The next prime is 82887169. The reversal of 82887168 is 86178828.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is not an unprimeable number, because it can be changed into a prime (82887169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139480 + ... + 140072.

Almost surely, 2^82887168 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 82887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

82887168 is an abundant number, since it is smaller than the sum of its proper divisors (189345408).

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

82887168 is a wasteful number, since it uses less digits than its factorization.

82887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 618 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 82887168 is about 9104.2390126798. The cubic root of 82887168 is about 436.0093143929.

The spelling of 82887168 in words is "eighty-two million, eight hundred eighty-seven thousand, one hundred sixty-eight".