193140768 has 48 divisors (see below), whose sum is σ = 507711456. Its totient is φ = 64289280.

The previous prime is 193140763. The next prime is 193140793. The reversal of 193140768 is 867041391.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (193140763) 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, 126055 + ... + 127577.

It is an arithmetic number, because the mean of its divisors is an integer number (10577322).

Almost surely, 2^193140768 is an apocalyptic number.

It is an amenable number.

193140768 is an abundant number, since it is smaller than the sum of its proper divisors (314570688).

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

193140768 is a wasteful number, since it uses less digits than its factorization.

193140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 193140768 is about 13897.5094171582. The cubic root of 193140768 is about 578.0401228518.

The spelling of 193140768 in words is "one hundred ninety-three million, one hundred forty thousand, seven hundred sixty-eight".