193217920 has 256 divisors, whose sum is σ = 581644800. Its totient is φ = 59867136.

The previous prime is 193217887. The next prime is 193217929. The reversal of 193217920 is 29712391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193217929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3274851 + ... + 3274909.

It is an arithmetic number, because the mean of its divisors is an integer number (2272050).

Almost surely, 2^193217920 is an apocalyptic number.

193217920 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 193217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

193217920 is an abundant number, since it is smaller than the sum of its proper divisors (388426880).

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

193217920 is a wasteful number, since it uses less digits than its factorization.

193217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 193217920 is about 13900.2848891668. The cubic root of 193217920 is about 578.1170805635.

The spelling of 193217920 in words is "one hundred ninety-three million, two hundred seventeen thousand, nine hundred twenty".