85253584 has 40 divisors (see below), whose sum is σ = 180925920. Its totient is φ = 38675328.

The previous prime is 85253573. The next prime is 85253599. The reversal of 85253584 is 48535258.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8799 + ... + 15745.

It is an arithmetic number, because the mean of its divisors is an integer number (4523148).

Almost surely, 2^85253584 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 85253584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90462960).

85253584 is an abundant number, since it is smaller than the sum of its proper divisors (95672336).

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

85253584 is a wasteful number, since it uses less digits than its factorization.

85253584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7027 (or 7021 counting only the distinct ones).

The product of its digits is 192000, while the sum is 40.

The square root of 85253584 is about 9233.2867387513. The cubic root of 85253584 is about 440.1197745552.

The spelling of 85253584 in words is "eighty-five million, two hundred fifty-three thousand, five hundred eighty-four".