86282496 has 216 divisors, whose sum is σ = 275285920. Its totient is φ = 26873856.

The previous prime is 86282489. The next prime is 86282501. The reversal of 86282496 is 69428268.

86282496 is a `hidden beast` number, since 86 + 2 + 82 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181916 + ... + 1181988.

Almost surely, 2^86282496 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 86282496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137642960).

86282496 is an abundant number, since it is smaller than the sum of its proper divisors (189003424).

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

86282496 is an equidigital number, since it uses as much as digits as its factorization.

86282496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 86282496 is about 9288.8371715732. The cubic root of 86282496 is about 441.8832776015.

The spelling of 86282496 in words is "eighty-six million, two hundred eighty-two thousand, four hundred ninety-six".