8767968 has 144 divisors (see below), whose sum is σ = 27651456. Its totient is φ = 2407680.

The previous prime is 8767963. The next prime is 8767999. The reversal of 8767968 is 8697678.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8767968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8767963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381205 + ... + 381227.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 2^8767968 is an apocalyptic number.

8767968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728).

8767968 is an abundant number, since it is smaller than the sum of its proper divisors (18883488).

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

8767968 is a wasteful number, since it uses less digits than its factorization.

8767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 8767968 is about 2961.0754802943. The cubic root of 8767968 is about 206.2052185605.

The spelling of 8767968 in words is "eight million, seven hundred sixty-seven thousand, nine hundred sixty-eight".