85838688 has 144 divisors (see below), whose sum is σ = 266653296. Its totient is φ = 26035200.

The previous prime is 85838681. The next prime is 85838689. The reversal of 85838688 is 88683858.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×85838688² = 14736560715122688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85838681) 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 23 ways as a sum of consecutive naturals, for example, 378031 + ... + 378257.

It is an arithmetic number, because the mean of its divisors is an integer number (1851759).

Almost surely, 2^85838688 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 85838688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133326648).

85838688 is an abundant number, since it is smaller than the sum of its proper divisors (180814608).

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

85838688 is a wasteful number, since it uses less digits than its factorization.

85838688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The square root of 85838688 is about 9264.9170530556. The cubic root of 85838688 is about 441.1243421263.

It can be divided in two parts, 8583 and 8688, that added together give a palindrome (17271).

The spelling of 85838688 in words is "eighty-five million, eight hundred thirty-eight thousand, six hundred eighty-eight".