194785920 has 192 divisors, whose sum is σ = 768867840. Its totient is φ = 44513280.

The previous prime is 194785909. The next prime is 194785931. The reversal of 194785920 is 29587491.

194785920 is a `hidden beast` number, since 19 + 47 + 8 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (194785909) and next prime (194785931).

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 37905 + ... + 42735.

It is an arithmetic number, because the mean of its divisors is an integer number (4004520).

Almost surely, 2^194785920 is an apocalyptic number.

194785920 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 194785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384433920).

194785920 is an abundant number, since it is smaller than the sum of its proper divisors (574081920).

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

194785920 is a wasteful number, since it uses less digits than its factorization.

194785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 194785920 is about 13956.5726451733. The cubic root of 194785920 is about 579.6767124236.

The spelling of 194785920 in words is "one hundred ninety-four million, seven hundred eighty-five thousand, nine hundred twenty".