86445800 has 72 divisors (see below), whose sum is σ = 233827110. Its totient is φ = 29635200.

The previous prime is 86445787. The next prime is 86445803. The reversal of 86445800 is 854468.

It can be written as a sum of positive squares in 3 ways, for example, as 68923204 + 17522596 = 8302^2 + 4186^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (86445803) 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 17 ways as a sum of consecutive naturals, for example, 5390 + ... + 14210.

Almost surely, 2^86445800 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 86445800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116913555).

86445800 is an abundant number, since it is smaller than the sum of its proper divisors (147381310).

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

86445800 is a wasteful number, since it uses less digits than its factorization.

86445800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8851 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 86445800 is about 9297.6233522336. The cubic root of 86445800 is about 442.1618811505.

It can be divided in two parts, 864 and 45800, that added together give a palindrome (46664).

The spelling of 86445800 in words is "eighty-six million, four hundred forty-five thousand, eight hundred".