85314240 has 168 divisors, whose sum is σ = 320241168. Its totient is φ = 20674560.

The previous prime is 85314227. The next prime is 85314247. The reversal of 85314240 is 4241358.

It is not an unprimeable number, because it can be changed into a prime (85314247) by changing a digit.

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, 30334 + ... + 33026.

Almost surely, 2^85314240 is an apocalyptic number.

85314240 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 85314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160120584).

85314240 is an abundant number, since it is smaller than the sum of its proper divisors (234926928).

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

85314240 is a wasteful number, since it uses less digits than its factorization.

85314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85314240 is about 9236.5707922367. The cubic root of 85314240 is about 440.2241282379.

Adding to 85314240 its reverse (4241358), we get a palindrome (89555598).

The spelling of 85314240 in words is "eighty-five million, three hundred fourteen thousand, two hundred forty".