86218632 has 48 divisors (see below), whose sum is σ = 233941500. Its totient is φ = 28686336.

The previous prime is 86218631. The next prime is 86218709. The reversal of 86218632 is 23681268.

86218632 is a `hidden beast` number, since 8 + 6 + 2 + 18 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 2056356 = 9174^2 + 1434^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86218631) 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, 66244 + ... + 67532.

Almost surely, 2^86218632 is an apocalyptic number.

It is an amenable number.

86218632 is an abundant number, since it is smaller than the sum of its proper divisors (147722868).

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

86218632 is a wasteful number, since it uses less digits than its factorization.

86218632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2223 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86218632 is about 9285.3988605767. The cubic root of 86218632 is about 441.7742272901.

The spelling of 86218632 in words is "eighty-six million, two hundred eighteen thousand, six hundred thirty-two".