85009344 has 112 divisors (see below), whose sum is σ = 270662400. Its totient is φ = 23003136.

The previous prime is 85009343. The next prime is 85009369. The reversal of 85009344 is 44390058.

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

It is a super-3 number, since 3×85009344³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85009343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23872 + ... + 27200.

Almost surely, 2^85009344 is an apocalyptic number.

85009344 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 85009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331200).

85009344 is an abundant number, since it is smaller than the sum of its proper divisors (185653056).

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

85009344 is a wasteful number, since it uses less digits than its factorization.

85009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 85009344 is about 9220.0511929164. The cubic root of 85009344 is about 439.6990779888.

The spelling of 85009344 in words is "eighty-five million, nine thousand, three hundred forty-four".