85680000 has 480 divisors, whose sum is σ = 372818160. Its totient is φ = 18432000.

The previous prime is 85679981. The next prime is 85680011. The reversal of 85680000 is 8658.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039992 + ... + 5040008.

Almost surely, 2^85680000 is an apocalyptic number.

85680000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186409080).

85680000 is an abundant number, since it is smaller than the sum of its proper divisors (287138160).

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

85680000 is a wasteful number, since it uses less digits than its factorization.

85680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85680000 is about 9256.3491723249. The cubic root of 85680000 is about 440.8523423164.

Adding to 85680000 its reverse (8658), we get a palindrome (85688658).

The spelling of 85680000 in words is "eighty-five million, six hundred eighty thousand".