193489920 has 528 divisors, whose sum is σ = 804716640. Its totient is φ = 42467328.

The previous prime is 193489913. The next prime is 193489921. The reversal of 193489920 is 29984391.

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

It is not an unprimeable number, because it can be changed into a prime (193489921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10183671 + ... + 10183689.

Almost surely, 2^193489920 is an apocalyptic number.

193489920 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 193489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402358320).

193489920 is an abundant number, since it is smaller than the sum of its proper divisors (611226720).

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

193489920 is a wasteful number, since it uses less digits than its factorization.

193489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 193489920 is about 13910.0654204069. The cubic root of 193489920 is about 578.3882322864.

The spelling of 193489920 in words is "one hundred ninety-three million, four hundred eighty-nine thousand, nine hundred twenty".