85390524 has 120 divisors (see below), whose sum is σ = 243326160. Its totient is φ = 26002944.

The previous prime is 85390519. The next prime is 85390537. The reversal of 85390524 is 42509358.

It is a super-3 number, since 3×85390524³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203587 + ... + 204005.

It is an arithmetic number, because the mean of its divisors is an integer number (2027718).

Almost surely, 2^85390524 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 85390524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121663080).

85390524 is an abundant number, since it is smaller than the sum of its proper divisors (157935636).

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

85390524 is a wasteful number, since it uses less digits than its factorization.

85390524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 85390524 is about 9240.6993241854. The cubic root of 85390524 is about 440.3552984200.

The spelling of 85390524 in words is "eighty-five million, three hundred ninety thousand, five hundred twenty-four".