193368 has 32 divisors (see below), whose sum is σ = 552960. Its totient is φ = 55200.

The previous prime is 193367. The next prime is 193373. The reversal of 193368 is 863391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2¹⁹³³⁶⁸ is an apocalyptic number.

It is an amenable number.

193368 is an abundant number, since it is smaller than the sum of its proper divisors (359592).

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

193368 is a wasteful number, since it uses less digits than its factorization.

193368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1163 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 193368 is about 439.7362846070. The cubic root of 193368 is about 57.8266723959.

It can be divided in two parts, 193 and 368, that added together give a triangular number (561 = T₃₃).

The spelling of 193368 in words is "one hundred ninety-three thousand, three hundred sixty-eight".