85088070 has 80 divisors (see below), whose sum is σ = 232087680. Its totient is φ = 22363776.

The previous prime is 85088051. The next prime is 85088083. The reversal of 85088070 is 7088058.

85088070 is a `hidden beast` number, since 8 + 508 + 80 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58411 + ... + 59849.

It is an arithmetic number, because the mean of its divisors is an integer number (2901096).

Almost surely, 2^85088070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85088070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116043840).

85088070 is an abundant number, since it is smaller than the sum of its proper divisors (146999610).

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

85088070 is a wasteful number, since it uses less digits than its factorization.

85088070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 85088070 is about 9224.3194870950. The cubic root of 85088070 is about 439.8347692268.

The spelling of 85088070 in words is "eighty-five million, eighty-eight thousand, seventy".