85988958 has 64 divisors (see below), whose sum is σ = 200247552. Its totient is φ = 24327680.

The previous prime is 85988957. The next prime is 85988971.

85988958 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85988957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193885 + ... + 194327.

It is an arithmetic number, because the mean of its divisors is an integer number (3128868).

Almost surely, 2^85988958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85988958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100123776).

85988958 is an abundant number, since it is smaller than the sum of its proper divisors (114258594).

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

85988958 is a wasteful number, since it uses less digits than its factorization.

85988958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649.

The product of its digits is 8294400, while the sum is 60.

The square root of 85988958 is about 9273.0231316437. The cubic root of 85988958 is about 441.3816041787.

The spelling of 85988958 in words is "eighty-five million, nine hundred eighty-eight thousand, nine hundred fifty-eight".