86609000 has 64 divisors (see below), whose sum is σ = 204057360. Its totient is φ = 34406400.

The previous prime is 86608997. The next prime is 86609023. The reversal of 86609000 is 90668.

It can be written as a sum of positive squares in 8 ways, for example, as 12545764 + 74063236 = 3542^2 + 8606^2 .

It is a super-2 number, since 2×86609000² = 15002237762000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256832 + ... + 257168.

Almost surely, 2^86609000 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 86609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102028680).

86609000 is an abundant number, since it is smaller than the sum of its proper divisors (117448360).

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

86609000 is a wasteful number, since it uses less digits than its factorization.

86609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 86609000 is about 9306.3956503041. The cubic root of 86609000 is about 442.4399569547.

Adding to 86609000 its reverse (90668), we get a palindrome (86699668).

The spelling of 86609000 in words is "eighty-six million, six hundred nine thousand".