85411944 has 96 divisors (see below), whose sum is σ = 252944640. Its totient is φ = 25920000.

The previous prime is 85411939. The next prime is 85411969. The reversal of 85411944 is 44911458.

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

Its product of digits (23040) is a multiple of the sum of its prime divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 85411899 and 85411908.

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 23 ways as a sum of consecutive naturals, for example, 36819 + ... + 39069.

It is an arithmetic number, because the mean of its divisors is an integer number (2634840).

Almost surely, 2^85411944 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 85411944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126472320).

85411944 is an abundant number, since it is smaller than the sum of its proper divisors (167532696).

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

85411944 is a wasteful number, since it uses less digits than its factorization.

85411944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2304 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 85411944 is about 9241.8582547018. The cubic root of 85411944 is about 440.3921160178.

The spelling of 85411944 in words is "eighty-five million, four hundred eleven thousand, nine hundred forty-four".