193920960 has 56 divisors (see below), whose sum is σ = 615702096. Its totient is φ = 51712000.

The previous prime is 193920953. The next prime is 193920971. The reversal of 193920960 is 69029391.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100041 + ... + 101960.

Almost surely, 2^193920960 is an apocalyptic number.

193920960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193920960 is an abundant number, since it is smaller than the sum of its proper divisors (421781136).

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

193920960 is a wasteful number, since it uses less digits than its factorization.

193920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202021 (or 202011 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 193920960 is about 13925.5506174801. The cubic root of 193920960 is about 578.8174080685.

The spelling of 193920960 in words is "one hundred ninety-three million, nine hundred twenty thousand, nine hundred sixty".