85185520 has 120 divisors (see below), whose sum is σ = 238163328. Its totient is φ = 28224000.

The previous prime is 85185517. The next prime is 85185523. The reversal of 85185520 is 2558158.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85185517) and next prime (85185523).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85185523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121170 + ... + 121870.

Almost surely, 2^85185520 is an apocalyptic number.

85185520 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 85185520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119081664).

85185520 is an abundant number, since it is smaller than the sum of its proper divisors (152977808).

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

85185520 is a wasteful number, since it uses less digits than its factorization.

85185520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The square root of 85185520 is about 9229.6002080263. The cubic root of 85185520 is about 440.0026170643.

The spelling of 85185520 in words is "eighty-five million, one hundred eighty-five thousand, five hundred twenty".