85680270 has 96 divisors (see below), whose sum is σ = 243708192. Its totient is φ = 20756736.

The previous prime is 85680251. The next prime is 85680299. The reversal of 85680270 is 7208658.

It is a super-2 number, since 2×85680270² = 14682217334545800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77844 + ... + 78936.

It is an arithmetic number, because the mean of its divisors is an integer number (2538627).

Almost surely, 2^85680270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85680270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121854096).

85680270 is an abundant number, since it is smaller than the sum of its proper divisors (158027922).

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

85680270 is a wasteful number, since it uses less digits than its factorization.

85680270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 85680270 is about 9256.3637568972. The cubic root of 85680270 is about 440.8528053961.

The spelling of 85680270 in words is "eighty-five million, six hundred eighty thousand, two hundred seventy".