85087968 has 96 divisors (see below), whose sum is σ = 257531904. Its totient is φ = 24095232.

The previous prime is 85087967. The next prime is 85087969. The reversal of 85087968 is 86978058.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85087967) and next prime (85087969).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 85087968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85087967) 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 15 ways as a sum of consecutive naturals, for example, 84846 + ... + 85842.

It is an arithmetic number, because the mean of its divisors is an integer number (2682624).

Almost surely, 2^85087968 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 85087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128765952).

85087968 is an abundant number, since it is smaller than the sum of its proper divisors (172443936).

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

85087968 is a wasteful number, since it uses less digits than its factorization.

85087968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 85087968 is about 9224.3139582302. The cubic root of 85087968 is about 439.8345934749.

The spelling of 85087968 in words is "eighty-five million, eighty-seven thousand, nine hundred sixty-eight".