984768 has 56 divisors (see below), whose sum is σ = 2731008. Its totient is φ = 312576.

The previous prime is 984761. The next prime is 984817. The reversal of 984768 is 867489.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (984761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4305 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (48768).

2⁹⁸⁴⁷⁶⁸ 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 984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365504).

984768 is an abundant number, since it is smaller than the sum of its proper divisors (1746240).

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

984768 is a wasteful number, since it uses less digits than its factorization.

984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 984768 is about 992.3547752694. The cubic root of 984768 is about 99.4896666962.

The spelling of 984768 in words is "nine hundred eighty-four thousand, seven hundred sixty-eight".