85849488 has 60 divisors (see below), whose sum is σ = 241582380. Its totient is φ = 28459008.

The previous prime is 85849487. The next prime is 85849513. The reversal of 85849488 is 88494858.

85849488 is a `hidden beast` number, since 85 + 84 + 9 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 33315984 = 7248^2 + 5772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85849487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26248 + ... + 29336.

It is an arithmetic number, because the mean of its divisors is an integer number (4026373).

Almost surely, 2^85849488 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 85849488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120791190).

85849488 is an abundant number, since it is smaller than the sum of its proper divisors (155732892).

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

85849488 is a wasteful number, since it uses less digits than its factorization.

85849488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3287 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 85849488 is about 9265.4998785818. The cubic root of 85849488 is about 441.1428417222.

The spelling of 85849488 in words is "eighty-five million, eight hundred forty-nine thousand, four hundred eighty-eight".