193890 has 32 divisors (see below), whose sum is σ = 487296. Its totient is φ = 49280.

The previous prime is 193883. The next prime is 193891. The reversal of 193890 is 98391.

It is a happy number.

193890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (193891) by changing a digit.

193890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (15228).

2¹⁹³⁸⁹⁰ is an apocalyptic number.

193890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 193890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243648).

193890 is an abundant number, since it is smaller than the sum of its proper divisors (293406).

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

193890 is a wasteful number, since it uses less digits than its factorization.

193890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314.

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

The square root of 193890 is about 440.3294221376. The cubic root of 193890 is about 57.8786603180.

The spelling of 193890 in words is "one hundred ninety-three thousand, eight hundred ninety".