984966960 has 80 divisors (see below), whose sum is σ = 3073731840. Its totient is φ = 260908800.

The previous prime is 984966953. The next prime is 984966967. The reversal of 984966960 is 69669489.

It is an interprime number because it is at equal distance from previous prime (984966953) and next prime (984966967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 984966960.

It is not an unprimeable number, because it can be changed into a prime (984966967) 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, 22651 + ... + 49829.

It is an arithmetic number, because the mean of its divisors is an integer number (38421648).

Almost surely, 2^984966960 is an apocalyptic number.

984966960 is the 18120-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536865920).

984966960 is an abundant number, since it is smaller than the sum of its proper divisors (2088764880).

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

984966960 is a wasteful number, since it uses less digits than its factorization.

984966960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27346 (or 27340 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The square root of 984966960 is about 31384.1832775683. The cubic root of 984966960 is about 994.9636645738.

The spelling of 984966960 in words is "nine hundred eighty-four million, nine hundred sixty-six thousand, nine hundred sixty".