86636466 has 80 divisors (see below), whose sum is σ = 233597760. Its totient is φ = 23444640.

The previous prime is 86636461. The next prime is 86636467. The reversal of 86636466 is 66463668.

86636466 is a `hidden beast` number, since 8 + 6 + 636 + 4 + 6 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (86636461) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19536 + ... + 23556.

It is an arithmetic number, because the mean of its divisors is an integer number (2919972).

Almost surely, 2^86636466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86636466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116798880).

86636466 is an abundant number, since it is smaller than the sum of its proper divisors (146961294).

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

86636466 is a wasteful number, since it uses less digits than its factorization.

86636466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4052 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 86636466 is about 9307.8711851851. The cubic root of 86636466 is about 442.4867218078.

It can be divided in two parts, 8663 and 6466, that added together give a square (15129 = 123²).

The spelling of 86636466 in words is "eighty-six million, six hundred thirty-six thousand, four hundred sixty-six".