1188172320 has 96 divisors (see below), whose sum is σ = 3750691392. Its totient is φ = 316173312.

The previous prime is 1188172319. The next prime is 1188172327. The reversal of 1188172320 is 232718811.

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

It is a super-3 number, since 3×1188172320³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1188172327) 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, 248674 + ... + 253406.

It is an arithmetic number, because the mean of its divisors is an integer number (39069702).

Almost surely, 2^1188172320 is an apocalyptic number.

1188172320 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 1188172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875345696).

1188172320 is an abundant number, since it is smaller than the sum of its proper divisors (2562519072).

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

1188172320 is a wasteful number, since it uses less digits than its factorization.

1188172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 1188172320 is about 34469.8755437266. The cubic root of 1188172320 is about 1059.1557060030.

The spelling of 1188172320 in words is "one billion, one hundred eighty-eight million, one hundred seventy-two thousand, three hundred twenty".