194368000 has 80 divisors (see below), whose sum is σ = 484828344. Its totient is φ = 77721600.

The previous prime is 194367997. The next prime is 194368049. The reversal of 194368000 is 863491.

It can be written as a sum of positive squares in 4 ways, for example, as 93083904 + 101284096 = 9648^2 + 10064^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62482 + ... + 65518.

Almost surely, 2^194368000 is an apocalyptic number.

194368000 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 194368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242414172).

194368000 is an abundant number, since it is smaller than the sum of its proper divisors (290460344).

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

194368000 is an frugal number, since it uses more digits than its factorization.

194368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 194368000 is about 13941.5924484974. The cubic root of 194368000 is about 579.2618433604.

The spelling of 194368000 in words is "one hundred ninety-four million, three hundred sixty-eight thousand".