85845312 has 224 divisors, whose sum is σ = 296509440. Its totient is φ = 23846400.

The previous prime is 85845289. The next prime is 85845343. The reversal of 85845312 is 21354858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568437 + ... + 568587.

Almost surely, 2^85845312 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 85845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148254720).

85845312 is an abundant number, since it is smaller than the sum of its proper divisors (210664128).

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

85845312 is a wasteful number, since it uses less digits than its factorization.

85845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 85845312 is about 9265.2745237257. The cubic root of 85845312 is about 441.1356887291.

The spelling of 85845312 in words is "eighty-five million, eight hundred forty-five thousand, three hundred twelve".