85301944 has 96 divisors (see below), whose sum is σ = 211150800. Its totient is φ = 31933440.

The previous prime is 85301941. The next prime is 85301959. The reversal of 85301944 is 44910358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85301941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96384 + ... + 97264.

Almost surely, 2^85301944 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 85301944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105575400).

85301944 is an abundant number, since it is smaller than the sum of its proper divisors (125848856).

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

85301944 is a wasteful number, since it uses less digits than its factorization.

85301944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 85301944 is about 9235.9051532592. The cubic root of 85301944 is about 440.2029779745.

The spelling of 85301944 in words is "eighty-five million, three hundred one thousand, nine hundred forty-four".