8185968 has 80 divisors (see below), whose sum is σ = 26863360. Its totient is φ = 2337984.

The previous prime is 8185967. The next prime is 8185981. The reversal of 8185968 is 8695818.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8185967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671 + ... + 4377.

It is an arithmetic number, because the mean of its divisors is an integer number (335792).

Almost surely, 2^8185968 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 8185968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431680).

8185968 is an abundant number, since it is smaller than the sum of its proper divisors (18677392).

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

8185968 is a wasteful number, since it uses less digits than its factorization.

8185968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2719 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 8185968 is about 2861.1130701180. The cubic root of 8185968 is about 201.5378776846.

It can be divided in two parts, 818 and 5968, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 8185968 in words is "eight million, one hundred eighty-five thousand, nine hundred sixty-eight".