85826724 has 48 divisors (see below), whose sum is σ = 217620480. Its totient is φ = 26226720.

The previous prime is 85826723. The next prime is 85826729. The reversal of 85826724 is 42762858.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85826723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 13139.

It is an arithmetic number, because the mean of its divisors is an integer number (4533760).

Almost surely, 2^85826724 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 85826724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810240).

85826724 is an abundant number, since it is smaller than the sum of its proper divisors (131793756).

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

85826724 is a wasteful number, since it uses less digits than its factorization.

85826724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12198 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 85826724 is about 9264.2713690824. The cubic root of 85826724 is about 441.1038468735.

The spelling of 85826724 in words is "eighty-five million, eight hundred twenty-six thousand, seven hundred twenty-four".