85845920 has 96 divisors (see below), whose sum is σ = 220803408. Its totient is φ = 31408128.

The previous prime is 85845911. The next prime is 85845943. The reversal of 85845920 is 2954858.

It can be written as a sum of positive squares in 8 ways, for example, as 45751696 + 40094224 = 6764^2 + 6332^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100214 + ... + 101066.

Almost surely, 2^85845920 is an apocalyptic number.

85845920 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 85845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110401704).

85845920 is an abundant number, since it is smaller than the sum of its proper divisors (134957488).

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

85845920 is a wasteful number, since it uses less digits than its factorization.

85845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 85845920 is about 9265.3073343522. The cubic root of 85845920 is about 441.1367301755.

The spelling of 85845920 in words is "eighty-five million, eight hundred forty-five thousand, nine hundred twenty".