8832768 has 144 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 2396160.

The previous prime is 8832749. The next prime is 8832773. The reversal of 8832768 is 8672388.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

Its product of digits (129024) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166630 + ... + 166682.

It is an arithmetic number, because the mean of its divisors is an integer number (196224).

Almost surely, 2^8832768 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 8832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

8832768 is an abundant number, since it is smaller than the sum of its proper divisors (19423488).

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

8832768 is a wasteful number, since it uses less digits than its factorization.

8832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 8832768 is about 2971.9973082087. The cubic root of 8832768 is about 206.7119613983.

The spelling of 8832768 in words is "eight million, eight hundred thirty-two thousand, seven hundred sixty-eight".