86147300 has 36 divisors (see below), whose sum is σ = 189516516. Its totient is φ = 33984000.

The previous prime is 86147297. The next prime is 86147309. The reversal of 86147300 is 374168.

It can be written as a sum of positive squares in 6 ways, for example, as 732736 + 85414564 = 856^2 + 9242^2 .

It is not an unprimeable number, because it can be changed into a prime (86147309) 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, 1400 + ... + 13200.

Almost surely, 2^86147300 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 86147300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94758258).

86147300 is an abundant number, since it is smaller than the sum of its proper divisors (103369216).

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

86147300 is a wasteful number, since it uses less digits than its factorization.

86147300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 86147300 is about 9281.5569814552. The cubic root of 86147300 is about 441.6523613894.

The spelling of 86147300 in words is "eighty-six million, one hundred forty-seven thousand, three hundred".