85230720 has 96 divisors (see below), whose sum is σ = 294332220. Its totient is φ = 22726656.

The previous prime is 85230689. The next prime is 85230727. The reversal of 85230720 is 2703258.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 1617984 = 9144^2 + 1272^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85230727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1639 + ... + 13158.

Almost surely, 2^85230720 is an apocalyptic number.

85230720 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 85230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147166110).

85230720 is an abundant number, since it is smaller than the sum of its proper divisors (209101500).

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

85230720 is a wasteful number, since it uses less digits than its factorization.

85230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14822 (or 14807 counting only the distinct ones).

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

The square root of 85230720 is about 9232.0485267355. The cubic root of 85230720 is about 440.0804260697.

Adding to 85230720 its reverse (2703258), we get a palindrome (87933978).

The spelling of 85230720 in words is "eighty-five million, two hundred thirty thousand, seven hundred twenty".