1180540880 has 80 divisors (see below), whose sum is σ = 2821694400. Its totient is φ = 459064320.

The previous prime is 1180540873. The next prime is 1180540901. The reversal of 1180540880 is 880450811.

It is a Cunningham number, because it is equal to 34359²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1180540880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1373891 + ... + 1374749.

It is an arithmetic number, because the mean of its divisors is an integer number (35271180).

Almost surely, 2^1180540880 is an apocalyptic number.

1180540880 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 1180540880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410847200).

1180540880 is an abundant number, since it is smaller than the sum of its proper divisors (1641153520).

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

1180540880 is a wasteful number, since it uses less digits than its factorization.

1180540880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 35.

The square root of 1180540880 is about 34358.9999854478. Note that the first 4 decimals coincide. The cubic root of 1180540880 is about 1056.8832381353.

The spelling of 1180540880 in words is "one billion, one hundred eighty million, five hundred forty thousand, eight hundred eighty".