86766500 has 48 divisors (see below), whose sum is σ = 191558640. Its totient is φ = 34329600.

The previous prime is 86766499. The next prime is 86766509. The reversal of 86766500 is 566768.

It can be written as a sum of positive squares in 8 ways, for example, as 10588516 + 76177984 = 3254^2 + 8728^2 .

It is not an unprimeable number, because it can be changed into a prime (86766509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47606 + ... + 49394.

It is an arithmetic number, because the mean of its divisors is an integer number (3990805).

Almost surely, 2^86766500 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 86766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95779320).

86766500 is an abundant number, since it is smaller than the sum of its proper divisors (104792140).

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

86766500 is a wasteful number, since it uses less digits than its factorization.

86766500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 86766500 is about 9314.8537293937. The cubic root of 86766500 is about 442.7079895115.

The spelling of 86766500 in words is "eighty-six million, seven hundred sixty-six thousand, five hundred".