1173991680 has 216 divisors, whose sum is σ = 4106171160. Its totient is φ = 309657600.

The previous prime is 1173991657. The next prime is 1173991681. The reversal of 1173991680 is 861993711.

It can be written as a sum of positive squares in 4 ways, for example, as 285474816 + 888516864 = 16896^2 + 29808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1173991681) 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 23 ways as a sum of consecutive naturals, for example, 1163016 + ... + 1164024.

Almost surely, 2^1173991680 is an apocalyptic number.

1173991680 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 1173991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053085580).

1173991680 is an abundant number, since it is smaller than the sum of its proper divisors (2932179480).

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

1173991680 is a wasteful number, since it uses less digits than its factorization.

1173991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 1173991680 is about 34263.5619864602. The cubic root of 1173991680 is about 1054.9252150069.

The spelling of 1173991680 in words is "one billion, one hundred seventy-three million, nine hundred ninety-one thousand, six hundred eighty".