86481800 has 48 divisors (see below), whose sum is σ = 202265700. Its totient is φ = 34387200.

The previous prime is 86481781. The next prime is 86481803. The reversal of 86481800 is 818468.

It can be written as a sum of positive squares in 6 ways, for example, as 2172676 + 84309124 = 1474^2 + 9182^2 .

It is not an unprimeable number, because it can be changed into a prime (86481803) 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, 35006 + ... + 37394.

Almost surely, 2^86481800 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 86481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101132850).

86481800 is an abundant number, since it is smaller than the sum of its proper divisors (115783900).

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

86481800 is a wasteful number, since it uses less digits than its factorization.

86481800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 86481800 is about 9299.5591293351. The cubic root of 86481800 is about 442.2232514681.

The spelling of 86481800 in words is "eighty-six million, four hundred eighty-one thousand, eight hundred".