86600000 has 84 divisors (see below), whose sum is σ = 215290908. Its totient is φ = 34560000.

The previous prime is 86599999. The next prime is 86600009. The reversal of 86600000 is 668.

It can be written as a sum of positive squares in 6 ways, for example, as 82882816 + 3717184 = 9104^2 + 1928^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86600009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199784 + ... + 200216.

It is an arithmetic number, because the mean of its divisors is an integer number (2562987).

Almost surely, 2^86600000 is an apocalyptic number.

86600000 is a gapful number since it is divisible by the number (80) 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 86600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107645454).

86600000 is an abundant number, since it is smaller than the sum of its proper divisors (128690908).

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

86600000 is an frugal number, since it uses more digits than its factorization.

86600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 86600000 is about 9305.9120993055. The cubic root of 86600000 is about 442.4246309972.

Adding to 86600000 its reverse (668), we get a palindrome (86600668).

The spelling of 86600000 in words is "eighty-six million, six hundred thousand".