85771152 has 60 divisors (see below), whose sum is σ = 241206784. Its totient is φ = 28451520.

The previous prime is 85771097. The next prime is 85771157. The reversal of 85771152 is 25117758.

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

It is not an unprimeable number, because it can be changed into a prime (85771157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30777 + ... + 33447.

Almost surely, 2^85771152 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 85771152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120603392).

85771152 is an abundant number, since it is smaller than the sum of its proper divisors (155435632).

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

85771152 is a wasteful number, since it uses less digits than its factorization.

85771152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2899 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The square root of 85771152 is about 9261.2716189517. The cubic root of 85771152 is about 441.0086227817.

The spelling of 85771152 in words is "eighty-five million, seven hundred seventy-one thousand, one hundred fifty-two".