85965152 has 96 divisors (see below), whose sum is σ = 212611392. Its totient is φ = 33306624.

The previous prime is 85965133. The next prime is 85965163. The reversal of 85965152 is 25156958.

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, 154058 + ... + 154614.

It is an arithmetic number, because the mean of its divisors is an integer number (2214702).

Almost surely, 2^85965152 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 85965152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106305696).

85965152 is an abundant number, since it is smaller than the sum of its proper divisors (126646240).

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

85965152 is a wasteful number, since it uses less digits than its factorization.

85965152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 108000, while the sum is 41.

The square root of 85965152 is about 9271.7394268821. The cubic root of 85965152 is about 441.3408683272.

The spelling of 85965152 in words is "eighty-five million, nine hundred sixty-five thousand, one hundred fifty-two".