85348824 has 64 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 25680000.

The previous prime is 85348819. The next prime is 85348841. The reversal of 85348824 is 42884358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38794 + ... + 40934.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^85348824 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 85348824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

85348824 is an abundant number, since it is smaller than the sum of its proper divisors (149071656).

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

85348824 is a wasteful number, since it uses less digits than its factorization.

85348824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2308 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 85348824 is about 9238.4427259144. The cubic root of 85348824 is about 440.2836050399.

The spelling of 85348824 in words is "eighty-five million, three hundred forty-eight thousand, eight hundred twenty-four".