85641052 has 48 divisors (see below), whose sum is σ = 181343232. Its totient is φ = 34594560.

The previous prime is 85641047. The next prime is 85641077. The reversal of 85641052 is 25014658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44788 + ... + 46660.

It is an arithmetic number, because the mean of its divisors is an integer number (3777984).

Almost surely, 2^85641052 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 85641052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90671616).

85641052 is an abundant number, since it is smaller than the sum of its proper divisors (95702180).

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

85641052 is a wasteful number, since it uses less digits than its factorization.

85641052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 85641052 is about 9254.2450799620. The cubic root of 85641052 is about 440.7855320168.

The spelling of 85641052 in words is "eighty-five million, six hundred forty-one thousand, fifty-two".