984861504 has 392 divisors, whose sum is σ = 3398093280. Its totient is φ = 279936000.

The previous prime is 984861503. The next prime is 984861511. The reversal of 984861504 is 405168489.

984861504 is a `hidden beast` number, since 9 + 84 + 8 + 61 + 504 = 666.

984861504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×984861504² = 1939904364122284032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 984861504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984861503) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9751054 + ... + 9751154.

Almost surely, 2^984861504 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 984861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699046640).

984861504 is an abundant number, since it is smaller than the sum of its proper divisors (2413231776).

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

984861504 is a wasteful number, since it uses less digits than its factorization.

984861504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 984861504 is about 31382.5031506411. The cubic root of 984861504 is about 994.9281545390.

The spelling of 984861504 in words is "nine hundred eighty-four million, eight hundred sixty-one thousand, five hundred four".