85101288 has 48 divisors (see below), whose sum is σ = 222438720. Its totient is φ = 27129696.

The previous prime is 85101271. The next prime is 85101307. The reversal of 85101288 is 88210158.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9345 + ... + 16047.

It is an arithmetic number, because the mean of its divisors is an integer number (4634140).

Almost surely, 2^85101288 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 85101288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111219360).

85101288 is an abundant number, since it is smaller than the sum of its proper divisors (137337432).

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

85101288 is a wasteful number, since it uses less digits than its factorization.

85101288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6731 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 85101288 is about 9225.0359348894. The cubic root of 85101288 is about 439.8575434142.

The spelling of 85101288 in words is "eighty-five million, one hundred one thousand, two hundred eighty-eight".