86282820 has 240 divisors, whose sum is σ = 309920688. Its totient is φ = 19906560.

The previous prime is 86282813. The next prime is 86282831. The reversal of 86282820 is 2828268.

86282820 is a `hidden beast` number, since 8 + 628 + 2 + 8 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15876 + 86266944 = 126^2 + 9288^2 .

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 79 ways as a sum of consecutive naturals, for example, 357900 + ... + 358140.

Almost surely, 2^86282820 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 86282820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154960344).

86282820 is an abundant number, since it is smaller than the sum of its proper divisors (223637868).

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

86282820 is a wasteful number, since it uses less digits than its factorization.

86282820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86282820 is about 9288.8546118453. The cubic root of 86282820 is about 441.8838307071.

The spelling of 86282820 in words is "eighty-six million, two hundred eighty-two thousand, eight hundred twenty".