86882112 has 112 divisors (see below), whose sum is σ = 257982720. Its totient is φ = 28670976.

The previous prime is 86882099. The next prime is 86882113. The reversal of 86882112 is 21128868.

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

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 (86882113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 236553 + ... + 236919.

Almost surely, 2^86882112 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 86882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128991360).

86882112 is an abundant number, since it is smaller than the sum of its proper divisors (171100608).

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

86882112 is a wasteful number, since it uses less digits than its factorization.

86882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 86882112 is about 9321.0574507402. The cubic root of 86882112 is about 442.9045309580.

The spelling of 86882112 in words is "eighty-six million, eight hundred eighty-two thousand, one hundred twelve".