850086900 has 432 divisors, whose sum is σ = 3126049920. Its totient is φ = 200154240.

The previous prime is 850086899. The next prime is 850086901. The reversal of 850086900 is 9680058.

It is an interprime number because it is at equal distance from previous prime (850086899) and next prime (850086901).

It is a super-2 number, since 2×850086900² = 1445295475103220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850086901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36960289 + ... + 36960311.

Almost surely, 2^850086900 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 850086900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563024960).

850086900 is an abundant number, since it is smaller than the sum of its proper divisors (2275963020).

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

850086900 is a wasteful number, since it uses less digits than its factorization.

850086900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 850086900 is about 29156.2497588424. The cubic root of 850086900 is about 947.3005175015.

The spelling of 850086900 in words is "eight hundred fifty million, eighty-six thousand, nine hundred".