85035744 has 120 divisors (see below), whose sum is σ = 255218040. Its totient is φ = 27765504.

The previous prime is 85035733. The next prime is 85035749. The reversal of 85035744 is 44753058.

85035744 is a `hidden beast` number, since 85 + 0 + 3 + 574 + 4 = 666.

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 = 85035699 and 85035708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85035749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137067 + ... + 137685.

It is an arithmetic number, because the mean of its divisors is an integer number (2126817).

Almost surely, 2^85035744 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 85035744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127609020).

85035744 is an abundant number, since it is smaller than the sum of its proper divisors (170182296).

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

85035744 is a wasteful number, since it uses less digits than its factorization.

85035744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 85035744 is about 9221.4827441144. The cubic root of 85035744 is about 439.7445900611.

The spelling of 85035744 in words is "eighty-five million, thirty-five thousand, seven hundred forty-four".