1180833680 has 80 divisors (see below), whose sum is σ = 2962570800. Its totient is φ = 435124224.

The previous prime is 1180833673. The next prime is 1180833701. The reversal of 1180833680 is 863380811.

It can be written as a sum of positive squares in 8 ways, for example, as 1048576 + 1179785104 = 1024^2 + 34348^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761546 + ... + 763094.

It is an arithmetic number, because the mean of its divisors is an integer number (37032135).

Almost surely, 2^1180833680 is an apocalyptic number.

1180833680 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 1180833680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481285400).

1180833680 is an abundant number, since it is smaller than the sum of its proper divisors (1781737120).

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

1180833680 is a wasteful number, since it uses less digits than its factorization.

1180833680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1180833680 is about 34363.2606136263. The cubic root of 1180833680 is about 1056.9706076445.

The spelling of 1180833680 in words is "one billion, one hundred eighty million, eight hundred thirty-three thousand, six hundred eighty".