192819840 has 128 divisors (see below), whose sum is σ = 635990400. Its totient is φ = 49631232.

The previous prime is 192819793. The next prime is 192819853. The reversal of 192819840 is 48918291.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 192819792 and 192819801.

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 15 ways as a sum of consecutive naturals, for example, 53949 + ... + 57411.

It is an arithmetic number, because the mean of its divisors is an integer number (4968675).

Almost surely, 2^192819840 is an apocalyptic number.

192819840 is a gapful number since it is divisible by the number (10) 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 192819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317995200).

192819840 is an abundant number, since it is smaller than the sum of its proper divisors (443170560).

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

192819840 is a wasteful number, since it uses less digits than its factorization.

192819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 192819840 is about 13885.9583752797. The cubic root of 192819840 is about 577.7197829144.

The spelling of 192819840 in words is "one hundred ninety-two million, eight hundred nineteen thousand, eight hundred forty".