85525760 has 72 divisors (see below), whose sum is σ = 207077640. Its totient is φ = 33841152.

The previous prime is 85525757. The next prime is 85525763. The reversal of 85525760 is 6752558.

It is an interprime number because it is at equal distance from previous prime (85525757) and next prime (85525763).

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 85229824 = 544^2 + 9232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85525763) 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 7 ways as a sum of consecutive naturals, for example, 139214 + ... + 139826.

Almost surely, 2^85525760 is an apocalyptic number.

85525760 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 85525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103538820).

85525760 is an abundant number, since it is smaller than the sum of its proper divisors (121551880).

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

85525760 is a wasteful number, since it uses less digits than its factorization.

85525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 85525760 is about 9248.0138408201. The cubic root of 85525760 is about 440.5876445705.

The spelling of 85525760 in words is "eighty-five million, five hundred twenty-five thousand, seven hundred sixty".