192085992 has 320 divisors, whose sum is σ = 677445120. Its totient is φ = 49600512.

The previous prime is 192085963. The next prime is 192085997. The reversal of 192085992 is 299580291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192085997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3624238 + ... + 3624290.

It is an arithmetic number, because the mean of its divisors is an integer number (2117016).

Almost surely, 2^192085992 is an apocalyptic number.

192085992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192085992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338722560).

192085992 is an abundant number, since it is smaller than the sum of its proper divisors (485359128).

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

192085992 is a wasteful number, since it uses less digits than its factorization.

192085992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 192085992 is about 13859.5090822150. The cubic root of 192085992 is about 576.9859416051.

It can be divided in two parts, 19208 and 5992, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 192085992 in words is "one hundred ninety-two million, eighty-five thousand, nine hundred ninety-two".