191538768 has 80 divisors (see below), whose sum is σ = 505967616. Its totient is φ = 62424960.

The previous prime is 191538761. The next prime is 191538821. The reversal of 191538768 is 867835191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191538761) 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, 521721 + ... + 522087.

Almost surely, 2^191538768 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 191538768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252983808).

191538768 is an abundant number, since it is smaller than the sum of its proper divisors (314428848).

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

191538768 is a wasteful number, since it uses less digits than its factorization.

191538768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 191538768 is about 13839.7531769898. The cubic root of 191538768 is about 576.4375051826.

The spelling of 191538768 in words is "one hundred ninety-one million, five hundred thirty-eight thousand, seven hundred sixty-eight".