191968320 has 56 divisors (see below), whose sum is σ = 609502464. Its totient is φ = 51191296.

The previous prime is 191968307. The next prime is 191968331. The reversal of 191968320 is 23869191.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99024 + ... + 100943.

Almost surely, 2^191968320 is an apocalyptic number.

191968320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191968320 is an abundant number, since it is smaller than the sum of its proper divisors (417534144).

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

191968320 is a wasteful number, since it uses less digits than its factorization.

191968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199987 (or 199977 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 191968320 is about 13855.2632598590. The cubic root of 191968320 is about 576.8680968871.

The spelling of 191968320 in words is "one hundred ninety-one million, nine hundred sixty-eight thousand, three hundred twenty".