85259520 has 144 divisors (see below), whose sum is σ = 302675520. Its totient is φ = 22726656.

The previous prime is 85259513. The next prime is 85259521. The reversal of 85259520 is 2595258.

85259520 is a `hidden beast` number, since 85 + 2 + 59 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85259521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33327 + ... + 35793.

Almost surely, 2^85259520 is an apocalyptic number.

85259520 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 85259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151337760).

85259520 is an abundant number, since it is smaller than the sum of its proper divisors (217416000).

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

85259520 is a wasteful number, since it uses less digits than its factorization.

85259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 85259520 is about 9233.6081788215. The cubic root of 85259520 is about 440.1299891418.

The spelling of 85259520 in words is "eighty-five million, two hundred fifty-nine thousand, five hundred twenty".