85872852 has 96 divisors (see below), whose sum is σ = 247618560. Its totient is φ = 25557120.

The previous prime is 85872827. The next prime is 85872859. The reversal of 85872852 is 25827858.

It is a super-2 number, since 2×85872852² = 14748293421227808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85872798 and 85872807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85872859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42538 + ... + 44510.

It is an arithmetic number, because the mean of its divisors is an integer number (2579360).

Almost surely, 2^85872852 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 85872852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123809280).

85872852 is an abundant number, since it is smaller than the sum of its proper divisors (161745708).

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

85872852 is a wasteful number, since it uses less digits than its factorization.

85872852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2022 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 85872852 is about 9266.7605990443. The cubic root of 85872852 is about 441.1828572064.

The spelling of 85872852 in words is "eighty-five million, eight hundred seventy-two thousand, eight hundred fifty-two".