86218600 has 48 divisors (see below), whose sum is σ = 215884620. Its totient is φ = 31833600.

The previous prime is 86218597. The next prime is 86218603. The reversal of 86218600 is 681268.

It is an interprime number because it is at equal distance from previous prime (86218597) and next prime (86218603).

It can be written as a sum of positive squares in 6 ways, for example, as 38415204 + 47803396 = 6198^2 + 6914^2 .

It is not an unprimeable number, because it can be changed into a prime (86218603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13981 + ... + 19180.

Almost surely, 2^86218600 is an apocalyptic number.

It is an amenable number.

86218600 is an abundant number, since it is smaller than the sum of its proper divisors (129666020).

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

86218600 is a wasteful number, since it uses less digits than its factorization.

86218600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33190 (or 33181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 86218600 is about 9285.3971374411. The cubic root of 86218600 is about 441.7741726353.

Adding to 86218600 its reverse (681268), we get a palindrome (86899868).

The spelling of 86218600 in words is "eighty-six million, two hundred eighteen thousand, six hundred".