85029344 has 36 divisors (see below), whose sum is σ = 175031136. Its totient is φ = 40658112.

The previous prime is 85029341. The next prime is 85029377. The reversal of 85029344 is 44392058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85029341) 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 5 ways as a sum of consecutive naturals, for example, 14417 + ... + 19439.

It is an arithmetic number, because the mean of its divisors is an integer number (4861976).

Almost surely, 2^85029344 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 85029344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87515568).

85029344 is an abundant number, since it is smaller than the sum of its proper divisors (90001792).

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

85029344 is a wasteful number, since it uses less digits than its factorization.

85029344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 85029344 is about 9221.1357218078. The cubic root of 85029344 is about 439.7335576965.

The spelling of 85029344 in words is "eighty-five million, twenty-nine thousand, three hundred forty-four".