194820120 has 384 divisors, whose sum is σ = 764467200. Its totient is φ = 43718400.

The previous prime is 194820107. The next prime is 194820127. The reversal of 194820120 is 21028491.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194820127) 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 95 ways as a sum of consecutive naturals, for example, 6284505 + ... + 6284535.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 2^194820120 is an apocalyptic number.

194820120 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 194820120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382233600).

194820120 is an abundant number, since it is smaller than the sum of its proper divisors (569647080).

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

194820120 is a wasteful number, since it uses less digits than its factorization.

194820120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 194820120 is about 13957.7978205733. The cubic root of 194820120 is about 579.7106364763.

The spelling of 194820120 in words is "one hundred ninety-four million, eight hundred twenty thousand, one hundred twenty".