984881664 has 240 divisors, whose sum is σ = 3143564424. Its totient is φ = 294912000.

The previous prime is 984881657. The next prime is 984881699. The reversal of 984881664 is 466188489.

984881664 is a `hidden beast` number, since 98 + 488 + 16 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 735494400 + 249387264 = 27120^2 + 15792^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 984881664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455864 + ... + 2456264.

Almost surely, 2^984881664 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 984881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571782212).

984881664 is an abundant number, since it is smaller than the sum of its proper divisors (2158682760).

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

984881664 is a wasteful number, since it uses less digits than its factorization.

984881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 984881664 is about 31382.8243470851. The cubic root of 984881664 is about 994.9349431804.

The spelling of 984881664 in words is "nine hundred eighty-four million, eight hundred eighty-one thousand, six hundred sixty-four".