86170320 has 120 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 21765888.

The previous prime is 86170303. The next prime is 86170333. The reversal of 86170320 is 2307168.

86170320 = 905² + 906² + ... + 999².

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10531 + ... + 16829.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2^86170320 is an apocalyptic number.

86170320 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 86170320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

86170320 is an abundant number, since it is smaller than the sum of its proper divisors (218497680).

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

86170320 is a wasteful number, since it uses less digits than its factorization.

86170320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6337 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 86170320 is about 9282.7969922863. The cubic root of 86170320 is about 441.6916968529.

Adding to 86170320 its reverse (2307168), we get a palindrome (88477488).

The spelling of 86170320 in words is "eighty-six million, one hundred seventy thousand, three hundred twenty".