86316048 has 180 divisors, whose sum is σ = 302941548. Its totient is φ = 22740480.

The previous prime is 86315989. The next prime is 86316071. The reversal of 86316048 is 84061368.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 54641664 = 5628^2 + 7392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91258 + ... + 92198.

Almost surely, 2^86316048 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 86316048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151470774).

86316048 is an abundant number, since it is smaller than the sum of its proper divisors (216625500).

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

86316048 is a wasteful number, since it uses less digits than its factorization.

86316048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86316048 is about 9290.6430347958. The cubic root of 86316048 is about 441.9405474112.

The spelling of 86316048 in words is "eighty-six million, three hundred sixteen thousand, forty-eight".