191376864 has 96 divisors (see below), whose sum is σ = 637943040. Its totient is φ = 54677376.

The previous prime is 191376863. The next prime is 191376893. The reversal of 191376864 is 468673191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191376863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9774 + ... + 21869.

It is an arithmetic number, because the mean of its divisors is an integer number (6645240).

Almost surely, 2^191376864 is an apocalyptic number.

191376864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

191376864 is an abundant number, since it is smaller than the sum of its proper divisors (446566176).

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

191376864 is a wasteful number, since it uses less digits than its factorization.

191376864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31669 (or 31655 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 191376864 is about 13833.9027031420. The cubic root of 191376864 is about 576.2750422565.

The spelling of 191376864 in words is "one hundred ninety-one million, three hundred seventy-six thousand, eight hundred sixty-four".