191379120 has 160 divisors (see below), whose sum is σ = 634245120. Its totient is φ = 47631360.

The previous prime is 191379107. The next prime is 191379121. The reversal of 191379120 is 21973191.

It is not an unprimeable number, because it can be changed into a prime (191379121) 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 31 ways as a sum of consecutive naturals, for example, 215317 + ... + 216203.

It is an arithmetic number, because the mean of its divisors is an integer number (3964032).

Almost surely, 2^191379120 is an apocalyptic number.

191379120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317122560).

191379120 is an abundant number, since it is smaller than the sum of its proper divisors (442866000).

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

191379120 is a wasteful number, since it uses less digits than its factorization.

191379120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 33.

The square root of 191379120 is about 13833.9842417143. The cubic root of 191379120 is about 576.2773066740.

The spelling of 191379120 in words is "one hundred ninety-one million, three hundred seventy-nine thousand, one hundred twenty".