85263288 has 64 divisors (see below), whose sum is σ = 234748800. Its totient is φ = 25591680.

The previous prime is 85263263. The next prime is 85263289. The reversal of 85263288 is 88236258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85263289) 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 15 ways as a sum of consecutive naturals, for example, 27295 + ... + 30257.

It is an arithmetic number, because the mean of its divisors is an integer number (3667950).

Almost surely, 2^85263288 is an apocalyptic number.

85263288 is a gapful number since it is divisible by the number (88) 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 85263288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117374400).

85263288 is an abundant number, since it is smaller than the sum of its proper divisors (149485512).

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

85263288 is a wasteful number, since it uses less digits than its factorization.

85263288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3088 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 85263288 is about 9233.8122138151. The cubic root of 85263288 is about 440.1364728180.

The spelling of 85263288 in words is "eighty-five million, two hundred sixty-three thousand, two hundred eighty-eight".