984671352 has 288 divisors, whose sum is σ = 3346012800. Its totient is φ = 255519360.

The previous prime is 984671351. The next prime is 984671353. The reversal of 984671352 is 253176489.

984671352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (984671351) and next prime (984671353).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 984671298 and 984671307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984671351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9202483 + ... + 9202589.

It is an arithmetic number, because the mean of its divisors is an integer number (11618100).

Almost surely, 2^984671352 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 984671352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673006400).

984671352 is an abundant number, since it is smaller than the sum of its proper divisors (2361341448).

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

984671352 is a wasteful number, since it uses less digits than its factorization.

984671352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

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

The square root of 984671352 is about 31379.4734181439. The cubic root of 984671352 is about 994.8641185452.

The spelling of 984671352 in words is "nine hundred eighty-four million, six hundred seventy-one thousand, three hundred fifty-two".