85305150 has 288 divisors, whose sum is σ = 292481280. Its totient is φ = 18040320.

The previous prime is 85305139. The next prime is 85305161. The reversal of 85305150 is 5150358.

It is an interprime number because it is at equal distance from previous prime (85305139) and next prime (85305161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1445821 + ... + 1445879.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^85305150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85305150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

85305150 is an abundant number, since it is smaller than the sum of its proper divisors (207176130).

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

85305150 is a wasteful number, since it uses less digits than its factorization.

85305150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 85305150 is about 9236.0787133935. The cubic root of 85305150 is about 440.2084927885.

The spelling of 85305150 in words is "eighty-five million, three hundred five thousand, one hundred fifty".