193972320 has 168 divisors, whose sum is σ = 687488256. Its totient is φ = 51694848.

The previous prime is 193972319. The next prime is 193972351. The reversal of 193972320 is 23279391.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 115809 + ... + 117471.

It is an arithmetic number, because the mean of its divisors is an integer number (4092192).

Almost surely, 2^193972320 is an apocalyptic number.

193972320 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 193972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343744128).

193972320 is an abundant number, since it is smaller than the sum of its proper divisors (493515936).

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

193972320 is an equidigital number, since it uses as much as digits as its factorization.

193972320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 193972320 is about 13927.3945876463. The cubic root of 193972320 is about 578.8685035216.

The spelling of 193972320 in words is "one hundred ninety-three million, nine hundred seventy-two thousand, three hundred twenty".