193380 has 48 divisors (see below), whose sum is σ = 592704. Its totient is φ = 46720.

The previous prime is 193379. The next prime is 193381. The reversal of 193380 is 83391.

It is an interprime number because it is at equal distance from previous prime (193379) and next prime (193381).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 193380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2¹⁹³³⁸⁰ is an apocalyptic number.

193380 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 193380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352).

193380 is an abundant number, since it is smaller than the sum of its proper divisors (399324).

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

193380 is a wasteful number, since it uses less digits than its factorization.

193380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 193380 is about 439.7499289369. The cubic root of 193380 is about 57.8278685706.

The spelling of 193380 in words is "one hundred ninety-three thousand, three hundred eighty".