85710240 has 288 divisors, whose sum is σ = 365129856. Its totient is φ = 17786880.

The previous prime is 85710217. The next prime is 85710253. The reversal of 85710240 is 4201758.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 110494 + ... + 111266.

It is an arithmetic number, because the mean of its divisors is an integer number (1267812).

Almost surely, 2^85710240 is an apocalyptic number.

85710240 is a gapful number since it is divisible by the number (80) 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 85710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182564928).

85710240 is an abundant number, since it is smaller than the sum of its proper divisors (279419616).

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

85710240 is a wasteful number, since it uses less digits than its factorization.

85710240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 85710240 is about 9257.9825016037. The cubic root of 85710240 is about 440.9042011973.

Adding to 85710240 its reverse (4201758), we get a palindrome (89911998).

The spelling of 85710240 in words is "eighty-five million, seven hundred ten thousand, two hundred forty".