85059520 has 224 divisors, whose sum is σ = 262176768. Its totient is φ = 25546752.

The previous prime is 85059511. The next prime is 85059577. The reversal of 85059520 is 2595058.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669697 + ... + 669823.

It is an arithmetic number, because the mean of its divisors is an integer number (1170432).

Almost surely, 2^85059520 is an apocalyptic number.

85059520 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 85059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131088384).

85059520 is an abundant number, since it is smaller than the sum of its proper divisors (177117248).

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

85059520 is a wasteful number, since it uses less digits than its factorization.

85059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The square root of 85059520 is about 9222.7718176262. The cubic root of 85059520 is about 439.7855704480.

The spelling of 85059520 in words is "eighty-five million, fifty-nine thousand, five hundred twenty".