86206900 has 54 divisors (see below), whose sum is σ = 202605522. Its totient is φ = 31824000.

The previous prime is 86206889. The next prime is 86206931. The reversal of 86206900 is 960268.

It can be written as a sum of positive squares in 9 ways, for example, as 80389156 + 5817744 = 8966^2 + 2412^2 .

It is a super-2 number, since 2×86206900² = 14863259215220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 14350 + ... + 19450.

Almost surely, 2^86206900 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 86206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101302761).

86206900 is an abundant number, since it is smaller than the sum of its proper divisors (116398622).

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

86206900 is a wasteful number, since it uses less digits than its factorization.

86206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 86206900 is about 9284.7670945479. The cubic root of 86206900 is about 441.7541885807.

The spelling of 86206900 in words is "eighty-six million, two hundred six thousand, nine hundred".