86206800 has 180 divisors, whose sum is σ = 292912800. Its totient is φ = 21669120.

The previous prime is 86206759. The next prime is 86206817. The reversal of 86206800 is 860268.

It is a super-2 number, since 2×86206800² = 14863224732480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 433101 + ... + 433299.

Almost surely, 2^86206800 is an apocalyptic number.

86206800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146456400).

86206800 is an abundant number, since it is smaller than the sum of its proper divisors (206706000).

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

86206800 is a wasteful number, since it uses less digits than its factorization.

86206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86206800 is about 9284.7617093817. The cubic root of 86206800 is about 441.7540177690.

The spelling of 86206800 in words is "eighty-six million, two hundred six thousand, eight hundred".