191152320 has 112 divisors (see below), whose sum is σ = 614476800. Its totient is φ = 50338816.

The previous prime is 191152309. The next prime is 191152327. The reversal of 191152320 is 23251191.

191152320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (191152327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78481 + ... + 80879.

It is an arithmetic number, because the mean of its divisors is an integer number (5486400).

Almost surely, 2^191152320 is an apocalyptic number.

191152320 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 191152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400).

191152320 is an abundant number, since it is smaller than the sum of its proper divisors (423324480).

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

191152320 is a wasteful number, since it uses less digits than its factorization.

191152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 191152320 is about 13825.7846070304. The cubic root of 191152320 is about 576.0495713510.

The spelling of 191152320 in words is "one hundred ninety-one million, one hundred fifty-two thousand, three hundred twenty".