85207824 has 120 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 25065216.

The previous prime is 85207783. The next prime is 85207877. The reversal of 85207824 is 42870258.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42067 + ... + 44045.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^85207824 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 85207824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

85207824 is an abundant number, since it is smaller than the sum of its proper divisors (182900016).

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

85207824 is a wasteful number, since it uses less digits than its factorization.

85207824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85207824 is about 9230.8084153014. The cubic root of 85207824 is about 440.0410154603.

The spelling of 85207824 in words is "eighty-five million, two hundred seven thousand, eight hundred twenty-four".