193056 has 24 divisors (see below), whose sum is σ = 507024. Its totient is φ = 64320.

The previous prime is 193051. The next prime is 193057. The reversal of 193056 is 650391.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 193056.

It is not an unprimeable number, because it can be changed into a prime (193051) by changing a digit.

193056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 910 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (21126).

2¹⁹³⁰⁵⁶ is an apocalyptic number.

193056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

193056 is an abundant number, since it is smaller than the sum of its proper divisors (313968).

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

193056 is a wasteful number, since it uses less digits than its factorization.

193056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 193056 is about 439.3813833107. The cubic root of 193056 is about 57.7955544687.

The spelling of 193056 in words is "one hundred ninety-three thousand, fifty-six".