85327944 has 64 divisors (see below), whose sum is σ = 230610240. Its totient is φ = 26154240.

The previous prime is 85327943. The next prime is 85327961. The reversal of 85327944 is 44972358.

It is a junction number, because it is equal to n+sod(n) for n = 85327896 and 85327905.

It is not an unprimeable number, because it can be changed into a prime (85327943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152914 + ... + 153470.

It is an arithmetic number, because the mean of its divisors is an integer number (3603285).

Almost surely, 2^85327944 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 85327944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115305120).

85327944 is an abundant number, since it is smaller than the sum of its proper divisors (145282296).

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

85327944 is a wasteful number, since it uses less digits than its factorization.

85327944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 85327944 is about 9237.3125962046. The cubic root of 85327944 is about 440.2476979978.

The spelling of 85327944 in words is "eighty-five million, three hundred twenty-seven thousand, nine hundred forty-four".