86682288 has 160 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 21991680.

The previous prime is 86682287. The next prime is 86682319. The reversal of 86682288 is 88228668.

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 (86682287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173463 + ... + 173961.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^86682288 is an apocalyptic number.

86682288 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 86682288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

86682288 is an abundant number, since it is smaller than the sum of its proper divisors (199013712).

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

86682288 is a wasteful number, since it uses less digits than its factorization.

86682288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 86682288 is about 9310.3323248958. The cubic root of 86682288 is about 442.5647184220.

The spelling of 86682288 in words is "eighty-six million, six hundred eighty-two thousand, two hundred eighty-eight".