85005720 has 128 divisors (see below), whose sum is σ = 292608000. Its totient is φ = 21928320.

The previous prime is 85005709. The next prime is 85005727. The reversal of 85005720 is 2750058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85005727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32211 + ... + 34749.

It is an arithmetic number, because the mean of its divisors is an integer number (2286000).

Almost surely, 2^85005720 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 85005720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

85005720 is an abundant number, since it is smaller than the sum of its proper divisors (207602280).

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

85005720 is a wasteful number, since it uses less digits than its factorization.

85005720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 85005720 is about 9219.8546626289. The cubic root of 85005720 is about 439.6928296870.

Adding to 85005720 its reverse (2750058), we get a palindrome (87755778).

The spelling of 85005720 in words is "eighty-five million, five thousand, seven hundred twenty".