191076864 has 160 divisors (see below), whose sum is σ = 570392064. Its totient is φ = 56340480.

The previous prime is 191076857. The next prime is 191076929. The reversal of 191076864 is 468670191.

It is a super-3 number, since 3×191076864³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 726397 + ... + 726659.

Almost surely, 2^191076864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285196032).

191076864 is an abundant number, since it is smaller than the sum of its proper divisors (379315200).

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

191076864 is a wasteful number, since it uses less digits than its factorization.

191076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

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

The square root of 191076864 is about 13823.0555232915. The cubic root of 191076864 is about 575.9737642371.

The spelling of 191076864 in words is "one hundred ninety-one million, seventy-six thousand, eight hundred sixty-four".