85297968 has 160 divisors (see below), whose sum is σ = 284664320. Its totient is φ = 23950080.

The previous prime is 85297963. The next prime is 85297991. The reversal of 85297968 is 86979258.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85297963) 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, 202398 + ... + 202818.

It is an arithmetic number, because the mean of its divisors is an integer number (1779152).

Almost surely, 2^85297968 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 85297968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142332160).

85297968 is an abundant number, since it is smaller than the sum of its proper divisors (199366352).

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

85297968 is a wasteful number, since it uses less digits than its factorization.

85297968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 85297968 is about 9235.6899038458. The cubic root of 85297968 is about 440.1961384498.

The spelling of 85297968 in words is "eighty-five million, two hundred ninety-seven thousand, nine hundred sixty-eight".