86286648 has 96 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 24470208.

The previous prime is 86286647. The next prime is 86286649. The reversal of 86286648 is 84668268.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86286647) and next prime (86286649).

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

It is a junction number, because it is equal to n+sod(n) for n = 86286597 and 86286606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86286643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280911 + ... + 281217.

It is an arithmetic number, because the mean of its divisors is an integer number (2633400).

Almost surely, 2^86286648 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 86286648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

86286648 is an abundant number, since it is smaller than the sum of its proper divisors (166519752).

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

86286648 is a wasteful number, since it uses less digits than its factorization.

86286648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 86286648 is about 9289.0606629519. The cubic root of 86286648 is about 441.8903654429.

The spelling of 86286648 in words is "eighty-six million, two hundred eighty-six thousand, six hundred forty-eight".