85038120 has 128 divisors (see below), whose sum is σ = 287712000. Its totient is φ = 22337280.

The previous prime is 85038119. The next prime is 85038127. The reversal of 85038120 is 2183058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (85038127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76126 + ... + 77234.

It is an arithmetic number, because the mean of its divisors is an integer number (2247750).

Almost surely, 2^85038120 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 85038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143856000).

85038120 is an abundant number, since it is smaller than the sum of its proper divisors (202673880).

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

85038120 is a wasteful number, since it uses less digits than its factorization.

85038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 85038120 is about 9221.6115728217. The cubic root of 85038120 is about 439.7486856855.

It can be divided in two parts, 85038 and 120, that added together give a palindrome (85158).

The spelling of 85038120 in words is "eighty-five million, thirty-eight thousand, one hundred twenty".