992111904 has 288 divisors, whose sum is σ = 3459456000. Its totient is φ = 263388672.

The previous prime is 992111893. The next prime is 992111917. The reversal of 992111904 is 409111299.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2259717 + ... + 2260155.

It is an arithmetic number, because the mean of its divisors is an integer number (12012000).

Almost surely, 2^992111904 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 992111904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728000).

992111904 is an abundant number, since it is smaller than the sum of its proper divisors (2467344096).

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

992111904 is a wasteful number, since it uses less digits than its factorization.

992111904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 992111904 is about 31497.8079237270. The cubic root of 992111904 is about 997.3636906472.

It can be divided in two parts, 992 and 111904, that added together give a square (112896 = 336²).

The spelling of 992111904 in words is "nine hundred ninety-two million, one hundred eleven thousand, nine hundred four".