191768640 has 112 divisors (see below), whose sum is σ = 695870592. Its totient is φ = 43831296.

The previous prime is 191768639. The next prime is 191768663. The reversal of 191768640 is 46867191.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×191768640² = 73550422574899200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 191768592 and 191768601.

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 15 ways as a sum of consecutive naturals, for example, 7549 + ... + 20988.

Almost surely, 2^191768640 is an apocalyptic number.

191768640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191768640 is an abundant number, since it is smaller than the sum of its proper divisors (504101952).

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

191768640 is a wasteful number, since it uses less digits than its factorization.

191768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564 (or 28554 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 191768640 is about 13848.0554591610. The cubic root of 191768640 is about 576.6680135549.

The spelling of 191768640 in words is "one hundred ninety-one million, seven hundred sixty-eight thousand, six hundred forty".