85680720 has 80 divisors (see below), whose sum is σ = 295129920. Its totient is φ = 22847616.

The previous prime is 85680713. The next prime is 85680733. The reversal of 85680720 is 2708658.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17674 + ... + 21993.

It is an arithmetic number, because the mean of its divisors is an integer number (3689124).

Almost surely, 2^85680720 is an apocalyptic number.

85680720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85680720 is an abundant number, since it is smaller than the sum of its proper divisors (209449200).

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

85680720 is a wasteful number, since it uses less digits than its factorization.

85680720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39689 (or 39677 counting only the distinct ones).

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

The square root of 85680720 is about 9256.3880644666. The cubic root of 85680720 is about 440.8535771935.

The spelling of 85680720 in words is "eighty-five million, six hundred eighty thousand, seven hundred twenty".