1191608320 has 128 divisors (see below), whose sum is σ = 3271507200. Its totient is φ = 408158208.

The previous prime is 1191608291. The next prime is 1191608329. The reversal of 1191608320 is 238061911.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1191608329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146361 + ... + 1147399.

It is an arithmetic number, because the mean of its divisors is an integer number (25558650).

Almost surely, 2^1191608320 is an apocalyptic number.

1191608320 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 1191608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635753600).

1191608320 is an abundant number, since it is smaller than the sum of its proper divisors (2079898880).

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

1191608320 is an frugal number, since it uses more digits than its factorization.

1191608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1191608320 is about 34519.6801839183. The cubic root of 1191608320 is about 1060.1756917751.

The spelling of 1191608320 in words is "one billion, one hundred ninety-one million, six hundred eight thousand, three hundred twenty".