8664768 has 126 divisors (see below), whose sum is σ = 28984956. Its totient is φ = 2467584.

The previous prime is 8664757. The next prime is 8664787. The reversal of 8664768 is 8674668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (126).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28071 + ... + 28377.

Almost surely, 2^8664768 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 8664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492478).

8664768 is an abundant number, since it is smaller than the sum of its proper divisors (20320188).

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

8664768 is a wasteful number, since it uses less digits than its factorization.

8664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 319 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8664768 is about 2943.5977986131. The cubic root of 8664768 is about 205.3930037782.

The spelling of 8664768 in words is "eight million, six hundred sixty-four thousand, seven hundred sixty-eight".