85680036 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 24788736.

The previous prime is 85680029. The next prime is 85680041. The reversal of 85680036 is 63008658.

It is a super-2 number, since 2×85680036² = 14682137137922592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 800695 + ... + 800801.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^85680036 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 85680036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

85680036 is an abundant number, since it is smaller than the sum of its proper divisors (161985564).

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

85680036 is a wasteful number, since it uses less digits than its factorization.

85680036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 85680036 is about 9256.3511169359. The cubic root of 85680036 is about 440.8524040604.

The spelling of 85680036 in words is "eighty-five million, six hundred eighty thousand, thirty-six".