984316752 has 80 divisors (see below), whose sum is σ = 2830176000. Its totient is φ = 327545856.

The previous prime is 984316709. The next prime is 984316757. The reversal of 984316752 is 257613489.

It is a junction number, because it is equal to n+sod(n) for n = 984316698 and 984316707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984316757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309024 + ... + 312192.

It is an arithmetic number, because the mean of its divisors is an integer number (35377200).

Almost surely, 2^984316752 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 984316752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415088000).

984316752 is an abundant number, since it is smaller than the sum of its proper divisors (1845859248).

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

984316752 is a wasteful number, since it uses less digits than its factorization.

984316752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3893 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 984316752 is about 31373.8227189484. The cubic root of 984316752 is about 994.7446806665.

The spelling of 984316752 in words is "nine hundred eighty-four million, three hundred sixteen thousand, seven hundred fifty-two".