86448336 has 160 divisors (see below), whose sum is σ = 256650240. Its totient is φ = 24883200.

The previous prime is 86448301. The next prime is 86448337. The reversal of 86448336 is 63384468.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86448337) 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 31 ways as a sum of consecutive naturals, for example, 793050 + ... + 793158.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 2^86448336 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 86448336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128325120).

86448336 is an abundant number, since it is smaller than the sum of its proper divisors (170201904).

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

86448336 is a wasteful number, since it uses less digits than its factorization.

86448336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 86448336 is about 9297.7597301716. The cubic root of 86448336 is about 442.1662049062.

The spelling of 86448336 in words is "eighty-six million, four hundred forty-eight thousand, three hundred thirty-six".