85282344 has 144 divisors (see below), whose sum is σ = 280631520. Its totient is φ = 23284800.

The previous prime is 85282339. The next prime is 85282361. The reversal of 85282344 is 44328258.

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 = 85282299 and 85282308.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 80619 + ... + 81669.

It is an arithmetic number, because the mean of its divisors is an integer number (1948830).

Almost surely, 2^85282344 is an apocalyptic number.

85282344 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 85282344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140315760).

85282344 is an abundant number, since it is smaller than the sum of its proper divisors (195349176).

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

85282344 is a wasteful number, since it uses less digits than its factorization.

85282344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 85282344 is about 9234.8440160081. The cubic root of 85282344 is about 440.1692599493.

The spelling of 85282344 in words is "eighty-five million, two hundred eighty-two thousand, three hundred forty-four".