86828868 has 96 divisors (see below), whose sum is σ = 263352320. Its totient is φ = 24222240.

The previous prime is 86828849. The next prime is 86828909. The reversal of 86828868 is 86882868.

It is a super-2 number, since 2×86828868² = 15078504636322848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 31173 + ... + 33843.

Almost surely, 2^86828868 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 86828868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131676160).

86828868 is an abundant number, since it is smaller than the sum of its proper divisors (176523452).

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

86828868 is a wasteful number, since it uses less digits than its factorization.

86828868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2726 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The square root of 86828868 is about 9318.2008993153. The cubic root of 86828868 is about 442.8140373485.

The spelling of 86828868 in words is "eighty-six million, eight hundred twenty-eight thousand, eight hundred sixty-eight".