193374048 has 96 divisors (see below), whose sum is σ = 614283264. Its totient is φ = 51996672.

The previous prime is 193374047. The next prime is 193374079. The reversal of 193374048 is 840473391.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 193373997 and 193374015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193374043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2961 + ... + 19887.

It is an arithmetic number, because the mean of its divisors is an integer number (6398784).

Almost surely, 2^193374048 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 193374048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307141632).

193374048 is an abundant number, since it is smaller than the sum of its proper divisors (420909216).

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

193374048 is a wasteful number, since it uses less digits than its factorization.

193374048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16964 (or 16956 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 193374048 is about 13905.8997551399. The cubic root of 193374048 is about 578.2727527412.

The spelling of 193374048 in words is "one hundred ninety-three million, three hundred seventy-four thousand, forty-eight".