85981152 has 48 divisors (see below), whose sum is σ = 228810960. Its totient is φ = 28265472.

The previous prime is 85981117. The next prime is 85981171. The reversal of 85981152 is 25118958.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 85981152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 13142.

It is an arithmetic number, because the mean of its divisors is an integer number (4766895).

Almost surely, 2^85981152 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 85981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114405480).

85981152 is an abundant number, since it is smaller than the sum of its proper divisors (142829808).

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

85981152 is a wasteful number, since it uses less digits than its factorization.

85981152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12355 (or 12347 counting only the distinct ones).

The product of its digits is 28800, while the sum is 39.

The square root of 85981152 is about 9272.6022237557. The cubic root of 85981152 is about 441.3682477000.

The spelling of 85981152 in words is "eighty-five million, nine hundred eighty-one thousand, one hundred fifty-two".