86386848 has 24 divisors (see below), whose sum is σ = 226765728. Its totient is φ = 28795584.

The previous prime is 86386841. The next prime is 86386849. The reversal of 86386848 is 84868368.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×86386848³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86386848.

It is not an unprimeable number, because it can be changed into a prime (86386841) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449836 + ... + 450027.

It is an arithmetic number, because the mean of its divisors is an integer number (9448572).

Almost surely, 2^86386848 is an apocalyptic number.

It is an amenable number.

86386848 is an abundant number, since it is smaller than the sum of its proper divisors (140378880).

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

86386848 is a wasteful number, since it uses less digits than its factorization.

86386848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899876 (or 899868 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 51.

The square root of 86386848 is about 9294.4525390149. The cubic root of 86386848 is about 442.0613470401.

The spelling of 86386848 in words is "eighty-six million, three hundred eighty-six thousand, eight hundred forty-eight".