85242048 has 112 divisors (see below), whose sum is σ = 238963200. Its totient is φ = 26763264.

The previous prime is 85242011. The next prime is 85242083. The reversal of 85242048 is 84024258.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428253 + ... + 428451.

It is an arithmetic number, because the mean of its divisors is an integer number (2133600).

Almost surely, 2^85242048 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 85242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119481600).

85242048 is an abundant number, since it is smaller than the sum of its proper divisors (153721152).

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

85242048 is a wasteful number, since it uses less digits than its factorization.

85242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 85242048 is about 9232.6620213241. The cubic root of 85242048 is about 440.0999222099.

The spelling of 85242048 in words is "eighty-five million, two hundred forty-two thousand, forty-eight".