86066500 has 48 divisors (see below), whose sum is σ = 202443696. Its totient is φ = 31776000.

The previous prime is 86066479. The next prime is 86066531. The reversal of 86066500 is 566068.

It can be written as a sum of positive squares in 8 ways, for example, as 15808576 + 70257924 = 3976^2 + 8382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121 + ... + 13120.

It is an arithmetic number, because the mean of its divisors is an integer number (4217577).

Almost surely, 2^86066500 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 86066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101221848).

86066500 is an abundant number, since it is smaller than the sum of its proper divisors (116377196).

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

86066500 is a wasteful number, since it uses less digits than its factorization.

86066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13273 (or 13261 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 86066500 is about 9277.2032423570. The cubic root of 86066500 is about 441.5142387652.

The spelling of 86066500 in words is "eighty-six million, sixty-six thousand, five hundred".