85439424 has 112 divisors (see below), whose sum is σ = 260681216. Its totient is φ = 24192000.

The previous prime is 85439383. The next prime is 85439429. The reversal of 85439424 is 42493458.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85439429) 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 15 ways as a sum of consecutive naturals, for example, 202734 + ... + 203154.

Almost surely, 2^85439424 is an apocalyptic number.

85439424 is a gapful number since it is divisible by the number (84) 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 85439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130340608).

85439424 is an abundant number, since it is smaller than the sum of its proper divisors (175241792).

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

85439424 is a wasteful number, since it uses less digits than its factorization.

85439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 85439424 is about 9243.3448491333. The cubic root of 85439424 is about 440.4393407858.

The spelling of 85439424 in words is "eighty-five million, four hundred thirty-nine thousand, four hundred twenty-four".