85266288 has 120 divisors (see below), whose sum is σ = 257255856. Its totient is φ = 26265600.

The previous prime is 85266257. The next prime is 85266289. The reversal of 85266288 is 88266258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85266289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149043 + ... + 149613.

Almost surely, 2^85266288 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 85266288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128627928).

85266288 is an abundant number, since it is smaller than the sum of its proper divisors (171989568).

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

85266288 is a wasteful number, since it uses less digits than its factorization.

85266288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 654 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 85266288 is about 9233.9746588346. The cubic root of 85266288 is about 440.1416348440.

The spelling of 85266288 in words is "eighty-five million, two hundred sixty-six thousand, two hundred eighty-eight".