193380768 has 72 divisors (see below), whose sum is σ = 628494048. Its totient is φ = 55251072.

The previous prime is 193380743. The next prime is 193380769. The reversal of 193380768 is 867083391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×193380768² = 74792242864539648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (193380769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45946 + ... + 49977.

It is an arithmetic number, because the mean of its divisors is an integer number (8729084).

Almost surely, 2^193380768 is an apocalyptic number.

193380768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

193380768 is an abundant number, since it is smaller than the sum of its proper divisors (435113280).

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

193380768 is a wasteful number, since it uses less digits than its factorization.

193380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95946 (or 95935 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 193380768 is about 13906.1413771039. The cubic root of 193380768 is about 578.2794512407.

The spelling of 193380768 in words is "one hundred ninety-three million, three hundred eighty thousand, seven hundred sixty-eight".