193187968 has 32 divisors (see below), whose sum is σ = 392142060. Its totient is φ = 94768128.

The previous prime is 193187963. The next prime is 193187977. The reversal of 193187968 is 869781391.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 191767104 + 1420864 = 13848^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×193187968³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (193187963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7455 + ... + 21022.

Almost surely, 2^193187968 is an apocalyptic number.

It is an amenable number.

193187968 is an abundant number, since it is smaller than the sum of its proper divisors (198954092).

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

193187968 is an equidigital number, since it uses as much as digits as its factorization.

193187968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28544 (or 28532 counting only the distinct ones).

The product of its digits is 653184, while the sum is 52.

The square root of 193187968 is about 13899.2074594201. The cubic root of 193187968 is about 578.0872064235.

The spelling of 193187968 in words is "one hundred ninety-three million, one hundred eighty-seven thousand, nine hundred sixty-eight".