86665320 has 288 divisors, whose sum is σ = 348121800. Its totient is φ = 18643968.

The previous prime is 86665309. The next prime is 86665351. The reversal of 86665320 is 2356668.

It can be written as a sum of positive squares in 4 ways, for example, as 72692676 + 13972644 = 8526^2 + 3738^2 .

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

It is a nialpdrome in base 10.

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 71 ways as a sum of consecutive naturals, for example, 5097952 + ... + 5097968.

Almost surely, 2^86665320 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 86665320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174060900).

86665320 is an abundant number, since it is smaller than the sum of its proper divisors (261456480).

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

86665320 is a wasteful number, since it uses less digits than its factorization.

86665320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 86665320 is about 9309.4210346294. The cubic root of 86665320 is about 442.5358392881.

The spelling of 86665320 in words is "eighty-six million, six hundred sixty-five thousand, three hundred twenty".