85930944 has 224 divisors, whose sum is σ = 272125440. Its totient is φ = 23654400.

The previous prime is 85930931. The next prime is 85930981. The reversal of 85930944 is 44903958.

It is a super-2 number, since 2×85930944² = 14768254273462272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85930896 and 85930905.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1408674 + ... + 1408734.

Almost surely, 2^85930944 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 85930944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

85930944 is an abundant number, since it is smaller than the sum of its proper divisors (186194496).

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

85930944 is a wasteful number, since it uses less digits than its factorization.

85930944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 85930944 is about 9269.8944977815. The cubic root of 85930944 is about 441.2823198298.

The spelling of 85930944 in words is "eighty-five million, nine hundred thirty thousand, nine hundred forty-four".