86566464 has 84 divisors (see below), whose sum is σ = 250166124. Its totient is φ = 28618752.

The previous prime is 86566463. The next prime is 86566471. The reversal of 86566464 is 46466568.

86566464 is a `hidden beast` number, since 86 + 566 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 49112064 = 6120^2 + 7008^2 .

It is not an unprimeable number, because it can be changed into a prime (86566463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78364 + ... + 79460.

Almost surely, 2^86566464 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 86566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125083062).

86566464 is an abundant number, since it is smaller than the sum of its proper divisors (163599660).

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

86566464 is a wasteful number, since it uses less digits than its factorization.

86566464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1239 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 86566464 is about 9304.1100595382. The cubic root of 86566464 is about 442.3675137221.

The spelling of 86566464 in words is "eighty-six million, five hundred sixty-six thousand, four hundred sixty-four".