86432320 has 112 divisors (see below), whose sum is σ = 225308160. Its totient is φ = 31389696.

The previous prime is 86432317. The next prime is 86432327. The reversal of 86432320 is 2323468.

It is a super-3 number, since 3×86432320³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (86432327) by changing a digit.

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, 328509 + ... + 328771.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^86432320 is an apocalyptic number.

86432320 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 86432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112654080).

86432320 is an abundant number, since it is smaller than the sum of its proper divisors (138875840).

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

86432320 is a wasteful number, since it uses less digits than its factorization.

86432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 86432320 is about 9296.8984075336. The cubic root of 86432320 is about 442.1388969917.

Adding to 86432320 its reverse (2323468), we get a palindrome (88755788).

The spelling of 86432320 in words is "eighty-six million, four hundred thirty-two thousand, three hundred twenty".