86161320 has 320 divisors, whose sum is σ = 344995200. Its totient is φ = 18869760.

The previous prime is 86161301. The next prime is 86161337. The reversal of 86161320 is 2316168.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 657655 + ... + 657785.

It is an arithmetic number, because the mean of its divisors is an integer number (1078110).

Almost surely, 2^86161320 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 86161320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172497600).

86161320 is an abundant number, since it is smaller than the sum of its proper divisors (258833880).

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

86161320 is a wasteful number, since it uses less digits than its factorization.

86161320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86161320 is about 9282.3122119437. The cubic root of 86161320 is about 441.6763189220.

Adding to 86161320 its reverse (2316168), we get a palindrome (88477488).

The spelling of 86161320 in words is "eighty-six million, one hundred sixty-one thousand, three hundred twenty".