85086720 has 160 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 22671360.

The previous prime is 85086719. The next prime is 85086733. The reversal of 85086720 is 2768058.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68505 + ... + 69735.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^85086720 is an apocalyptic number.

85086720 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 85086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

85086720 is an abundant number, since it is smaller than the sum of its proper divisors (217393920).

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

85086720 is a wasteful number, since it uses less digits than its factorization.

85086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1241 counting only the distinct ones).

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

The square root of 85086720 is about 9224.2463106749. The cubic root of 85086720 is about 439.8324430876.

The spelling of 85086720 in words is "eighty-five million, eighty-six thousand, seven hundred twenty".