85984120 has 64 divisors (see below), whose sum is σ = 212544000. Its totient is φ = 31160448.

The previous prime is 85984061. The next prime is 85984121. The reversal of 85984120 is 2148958.

It is a self number, because there is not a number n which added to its sum of digits gives 85984120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85984121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15021 + ... + 19939.

It is an arithmetic number, because the mean of its divisors is an integer number (3321000).

Almost surely, 2^85984120 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 85984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106272000).

85984120 is an abundant number, since it is smaller than the sum of its proper divisors (126559880).

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

85984120 is a wasteful number, since it uses less digits than its factorization.

85984120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 85984120 is about 9272.7622637486. The cubic root of 85984120 is about 441.3733262002.

The spelling of 85984120 in words is "eighty-five million, nine hundred eighty-four thousand, one hundred twenty".