8491968 has 84 divisors (see below), whose sum is σ = 25438608. Its totient is φ = 2703360.

The previous prime is 8491963. The next prime is 8491969. The reversal of 8491968 is 8691948.

It is a super-2 number, since 2×8491968² = 144227041026048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8491963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12928 + ... + 13568.

Almost surely, 2^8491968 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 8491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719304).

8491968 is an abundant number, since it is smaller than the sum of its proper divisors (16946640).

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

8491968 is a wasteful number, since it uses less digits than its factorization.

8491968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 669 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 8491968 is about 2914.0981452244. The cubic root of 8491968 is about 204.0184527714.

The spelling of 8491968 in words is "eight million, four hundred ninety-one thousand, nine hundred sixty-eight".