85675968 has 168 divisors, whose sum is σ = 291421312. Its totient is φ = 24447744.

The previous prime is 85675957. The next prime is 85675969. The reversal of 85675968 is 86957658.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85675969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108471 + ... + 109257.

Almost surely, 2^85675968 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 85675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145710656).

85675968 is an abundant number, since it is smaller than the sum of its proper divisors (205745344).

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

85675968 is an equidigital number, since it uses as much as digits as its factorization.

85675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 799 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The square root of 85675968 is about 9256.1313733114. The cubic root of 85675968 is about 440.8454268771.

It can be divided in two parts, 8567 and 5968, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 85675968 in words is "eighty-five million, six hundred seventy-five thousand, nine hundred sixty-eight".