85408344 has 160 divisors (see below), whose sum is σ = 288076800. Its totient is φ = 23094720.

The previous prime is 85408339. The next prime is 85408373. The reversal of 85408344 is 44380458.

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 = 85408299 and 85408308.

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 39 ways as a sum of consecutive naturals, for example, 85689 + ... + 86679.

It is an arithmetic number, because the mean of its divisors is an integer number (1800480).

Almost surely, 2^85408344 is an apocalyptic number.

85408344 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 85408344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144038400).

85408344 is an abundant number, since it is smaller than the sum of its proper divisors (202668456).

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

85408344 is a wasteful number, since it uses less digits than its factorization.

85408344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1022 counting only the distinct ones).

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

The square root of 85408344 is about 9241.6634866240. The cubic root of 85408344 is about 440.3859286166.

The spelling of 85408344 in words is "eighty-five million, four hundred eight thousand, three hundred forty-four".