85665300 has 216 divisors, whose sum is σ = 301605696. Its totient is φ = 18385920.

The previous prime is 85665299. The next prime is 85665301. The reversal of 85665300 is 356658.

It is an interprime number because it is at equal distance from previous prime (85665299) and next prime (85665301).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85665301) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 758044 + ... + 758156.

Almost surely, 2^85665300 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 85665300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150802848).

85665300 is an abundant number, since it is smaller than the sum of its proper divisors (215940396).

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

85665300 is a wasteful number, since it uses less digits than its factorization.

85665300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 85665300 is about 9255.5550887021. Note that the first 3 decimals coincide. The cubic root of 85665300 is about 440.8271287307.

The spelling of 85665300 in words is "eighty-five million, six hundred sixty-five thousand, three hundred".