85858344 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 23155200.

The previous prime is 85858337. The next prime is 85858349. The reversal of 85858344 is 44385858.

It is a self number, because there is not a number n which added to its sum of digits gives 85858344.

It is not an unprimeable number, because it can be changed into a prime (85858349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319042 + ... + 319310.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^85858344 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 85858344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

85858344 is an abundant number, since it is smaller than the sum of its proper divisors (197188056).

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

85858344 is a wasteful number, since it uses less digits than its factorization.

85858344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 85858344 is about 9265.9777681581. The cubic root of 85858344 is about 441.1580102331.

The spelling of 85858344 in words is "eighty-five million, eight hundred fifty-eight thousand, three hundred forty-four".