984968664 has 128 divisors (see below), whose sum is σ = 2676326400. Its totient is φ = 301069440.

The previous prime is 984968657. The next prime is 984968689. The reversal of 984968664 is 466869489.

It is a junction number, because it is equal to n+sod(n) for n = 984968598 and 984968607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3744997 + ... + 3745259.

It is an arithmetic number, because the mean of its divisors is an integer number (20908800).

Almost surely, 2^984968664 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 984968664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338163200).

984968664 is an abundant number, since it is smaller than the sum of its proper divisors (1691357736).

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

984968664 is a wasteful number, since it uses less digits than its factorization.

984968664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The square root of 984968664 is about 31384.2104249892. The cubic root of 984968664 is about 994.9642383383.

The spelling of 984968664 in words is "nine hundred eighty-four million, nine hundred sixty-eight thousand, six hundred sixty-four".