985811904 has 448 divisors, whose sum is σ = 3745382400. Its totient is φ = 246758400.

The previous prime is 985811881. The next prime is 985811921. The reversal of 985811904 is 409118589.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×985811904³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 985811904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4124617 + ... + 4124855.

Almost surely, 2^985811904 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 985811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872691200).

985811904 is an abundant number, since it is smaller than the sum of its proper divisors (2759570496).

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

985811904 is a wasteful number, since it uses less digits than its factorization.

985811904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 985811904 is about 31397.6416948789. The cubic root of 985811904 is about 995.2480897830.

The spelling of 985811904 in words is "nine hundred eighty-five million, eight hundred eleven thousand, nine hundred four".