193648 has 60 divisors (see below), whose sum is σ = 494760. Its totient is φ = 72576.

The previous prime is 193619. The next prime is 193649. The reversal of 193648 is 846391.

193648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (5184) is a multiple of the sum of its prime factors (54).

It is a congruent number.

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

193648 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 11 ways as a sum of consecutive naturals, for example, 10183 + ... + 10201.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2¹⁹³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247380).

193648 is an abundant number, since it is smaller than the sum of its proper divisors (301112).

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

193648 is a wasteful number, since it uses less digits than its factorization.

193648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 41 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 193648 is about 440.0545420740. The cubic root of 193648 is about 57.8545702545.

It can be divided in two parts, 193 and 648, that added together give a square (841 = 29²).

The spelling of 193648 in words is "one hundred ninety-three thousand, six hundred forty-eight".