193640 has 32 divisors (see below), whose sum is σ = 449280. Its totient is φ = 75072.

The previous prime is 193619. The next prime is 193649. The reversal of 193640 is 46391.

193640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193649) by changing a digit.

193640 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 7 ways as a sum of consecutive naturals, for example, 1829 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2¹⁹³⁶⁴⁰ is an apocalyptic number.

193640 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 193640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

193640 is an abundant number, since it is smaller than the sum of its proper divisors (255640).

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

193640 is a wasteful number, since it uses less digits than its factorization.

193640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 193640 is about 440.0454521978. The cubic root of 193640 is about 57.8537735462.

The spelling of 193640 in words is "one hundred ninety-three thousand, six hundred forty".