85616120 has 64 divisors (see below), whose sum is σ = 208008000. Its totient is φ = 31618048.

The previous prime is 85616117. The next prime is 85616191. The reversal of 85616120 is 2161658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 25076 + ... + 28284.

It is an arithmetic number, because the mean of its divisors is an integer number (3250125).

Almost surely, 2^85616120 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 85616120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104004000).

85616120 is an abundant number, since it is smaller than the sum of its proper divisors (122391880).

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

85616120 is a wasteful number, since it uses less digits than its factorization.

85616120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 85616120 is about 9252.8979244343. The cubic root of 85616120 is about 440.7427537337.

Adding to 85616120 its reverse (2161658), we get a palindrome (87777778).

The spelling of 85616120 in words is "eighty-five million, six hundred sixteen thousand, one hundred twenty".