85081152 has 112 divisors (see below), whose sum is σ = 245790720. Its totient is φ = 25817088.

The previous prime is 85081121. The next prime is 85081177. The reversal of 85081152 is 25118058.

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, 221953 + ... + 222335.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2^85081152 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 85081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

85081152 is an abundant number, since it is smaller than the sum of its proper divisors (160709568).

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

85081152 is a wasteful number, since it uses less digits than its factorization.

85081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 85081152 is about 9223.9444924609. The cubic root of 85081152 is about 439.8228487958.

The spelling of 85081152 in words is "eighty-five million, eighty-one thousand, one hundred fifty-two".