193345920 has 256 divisors, whose sum is σ = 699148800. Its totient is φ = 50485248.

The previous prime is 193345909. The next prime is 193345949. The reversal of 193345920 is 29543391.

It is a happy number.

193345920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1157677 + ... + 1157843.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2^193345920 is an apocalyptic number.

193345920 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 193345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

193345920 is an abundant number, since it is smaller than the sum of its proper divisors (505802880).

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

193345920 is a wasteful number, since it uses less digits than its factorization.

193345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 193345920 is about 13904.8883490663. Note that the first 3 decimals coincide. The cubic root of 193345920 is about 578.2447130519.

The spelling of 193345920 in words is "one hundred ninety-three million, three hundred forty-five thousand, nine hundred twenty".