194389920 has 144 divisors (see below), whose sum is σ = 674534952. Its totient is φ = 50964480.

The previous prime is 194389919. The next prime is 194389927. The reversal of 194389920 is 29983491.

It can be written as a sum of positive squares in 4 ways, for example, as 162715536 + 31674384 = 12756^2 + 5628^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (194389927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 86734 + ... + 88946.

Almost surely, 2^194389920 is an apocalyptic number.

194389920 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 194389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337267476).

194389920 is an abundant number, since it is smaller than the sum of its proper divisors (480145032).

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

194389920 is a wasteful number, since it uses less digits than its factorization.

194389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 194389920 is about 13942.3785632151. The cubic root of 194389920 is about 579.2836181078.

The spelling of 194389920 in words is "one hundred ninety-four million, three hundred eighty-nine thousand, nine hundred twenty".