9882768 has 80 divisors (see below), whose sum is σ = 29680640. Its totient is φ = 2775168.

The previous prime is 9882767. The next prime is 9882773. The reversal of 9882768 is 8672889.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9882767) 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, 22293 + ... + 22731.

It is an arithmetic number, because the mean of its divisors is an integer number (371008).

Almost surely, 2^9882768 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 9882768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840320).

9882768 is an abundant number, since it is smaller than the sum of its proper divisors (19797872).

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

9882768 is a wasteful number, since it uses less digits than its factorization.

9882768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 518 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 9882768 is about 3143.6870073212. The cubic root of 9882768 is about 214.5982618786.

The spelling of 9882768 in words is "nine million, eight hundred eighty-two thousand, seven hundred sixty-eight".