85273344 has 216 divisors, whose sum is σ = 276798480. Its totient is φ = 25878528.

The previous prime is 85273337. The next prime is 85273361. The reversal of 85273344 is 44337258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-3 number, since 3×85273344³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85273299 and 85273308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168092 + ... + 1168164.

Almost surely, 2^85273344 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 85273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138399240).

85273344 is an abundant number, since it is smaller than the sum of its proper divisors (191525136).

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

85273344 is a wasteful number, since it uses less digits than its factorization.

85273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 85273344 is about 9234.3567182560. The cubic root of 85273344 is about 440.1537754519.

The spelling of 85273344 in words is "eighty-five million, two hundred seventy-three thousand, three hundred forty-four".