193980 has 48 divisors (see below), whose sum is σ = 562464. Its totient is φ = 49920.

The previous prime is 193979. The next prime is 193993. The reversal of 193980 is 89391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3150 + ... + 3210.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2¹⁹³⁹⁸⁰ is an apocalyptic number.

193980 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 193980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

193980 is an abundant number, since it is smaller than the sum of its proper divisors (368484).

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

193980 is a wasteful number, since it uses less digits than its factorization.

193980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 193980 is about 440.4316064953. The cubic root of 193980 is about 57.8876143188.

The spelling of 193980 in words is "one hundred ninety-three thousand, nine hundred eighty".