85526520 has 128 divisors (see below), whose sum is σ = 269015040. Its totient is φ = 21726720.

The previous prime is 85526513. The next prime is 85526531. The reversal of 85526520 is 2562558.

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 31 ways as a sum of consecutive naturals, for example, 308622 + ... + 308898.

It is an arithmetic number, because the mean of its divisors is an integer number (2101680).

Almost surely, 2^85526520 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 85526520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134507520).

85526520 is an abundant number, since it is smaller than the sum of its proper divisors (183488520).

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

85526520 is a wasteful number, since it uses less digits than its factorization.

85526520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 85526520 is about 9248.0549306327. The cubic root of 85526520 is about 440.5889496183.

The spelling of 85526520 in words is "eighty-five million, five hundred twenty-six thousand, five hundred twenty".