85242080 has 288 divisors, whose sum is σ = 275099328. Its totient is φ = 24330240.

The previous prime is 85242011. The next prime is 85242083. The reversal of 85242080 is 8024258.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85242083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2303822 + ... + 2303858.

It is an arithmetic number, because the mean of its divisors is an integer number (955206).

Almost surely, 2^85242080 is an apocalyptic number.

85242080 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 85242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

85242080 is an abundant number, since it is smaller than the sum of its proper divisors (189857248).

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

85242080 is a wasteful number, since it uses less digits than its factorization.

85242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 85242080 is about 9232.6637543019. The cubic root of 85242080 is about 440.0999772813.

The spelling of 85242080 in words is "eighty-five million, two hundred forty-two thousand, eighty".