86544320 has 28 divisors (see below), whose sum is σ = 206084424. Its totient is φ = 34617600.

The previous prime is 86544217. The next prime is 86544329. The reversal of 86544320 is 2344568.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86544329) 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 3 ways as a sum of consecutive naturals, for example, 134906 + ... + 135545.

It is an arithmetic number, because the mean of its divisors is an integer number (7360158).

Almost surely, 2^86544320 is an apocalyptic number.

86544320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86544320 is an abundant number, since it is smaller than the sum of its proper divisors (119540104).

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

86544320 is a wasteful number, since it uses less digits than its factorization.

86544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270468 (or 270458 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 86544320 is about 9302.9199717078. The cubic root of 86544320 is about 442.3297907935.

Adding to 86544320 its reverse (2344568), we get a palindrome (88888888).

The spelling of 86544320 in words is "eighty-six million, five hundred forty-four thousand, three hundred twenty".