85279488 has 144 divisors (see below), whose sum is σ = 268826880. Its totient is φ = 23482368.

The previous prime is 85279483. The next prime is 85279501. The reversal of 85279488 is 88497258.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85279488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85279483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155631 + ... + 156177.

Almost surely, 2^85279488 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 85279488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134413440).

85279488 is an abundant number, since it is smaller than the sum of its proper divisors (183547392).

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

85279488 is a wasteful number, since it uses less digits than its factorization.

85279488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 85279488 is about 9234.6893829733. The cubic root of 85279488 is about 440.1643463201.

The spelling of 85279488 in words is "eighty-five million, two hundred seventy-nine thousand, four hundred eighty-eight".