194641920 has 288 divisors, whose sum is σ = 754971840. Its totient is φ = 47185920.

The previous prime is 194641919. The next prime is 194641921. The reversal of 194641920 is 29146491.

It is a happy number.

194641920 is a `hidden beast` number, since 1 + 9 + 4 + 641 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (194641919) and next prime (194641921).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194641921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694715 + ... + 17694725.

It is an arithmetic number, because the mean of its divisors is an integer number (2621430).

Almost surely, 2^194641920 is an apocalyptic number.

194641920 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 194641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377485920).

194641920 is an abundant number, since it is smaller than the sum of its proper divisors (560329920).

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

194641920 is an frugal number, since it uses more digits than its factorization.

194641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 194641920 is about 13951.4128316812. The cubic root of 194641920 is about 579.5338307326.

The spelling of 194641920 in words is "one hundred ninety-four million, six hundred forty-one thousand, nine hundred twenty".