85720320 has 216 divisors, whose sum is σ = 339271296. Its totient is φ = 19574784.

The previous prime is 85720319. The next prime is 85720337. The reversal of 85720320 is 2302758.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 80109 + ... + 81171.

Almost surely, 2^85720320 is an apocalyptic number.

85720320 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 85720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169635648).

85720320 is an abundant number, since it is smaller than the sum of its proper divisors (253550976).

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

85720320 is a wasteful number, since it uses less digits than its factorization.

85720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 85720320 is about 9258.5268806652. The cubic root of 85720320 is about 440.9214847803.

The spelling of 85720320 in words is "eighty-five million, seven hundred twenty thousand, three hundred twenty".