1180859680 has 384 divisors, whose sum is σ = 3834625536. Its totient is φ = 331776000.

The previous prime is 1180859677. The next prime is 1180859683. The reversal of 1180859680 is 869580811.

It is an interprime number because it is at equal distance from previous prime (1180859677) and next prime (1180859683).

It is a self number, because there is not a number n which added to its sum of digits gives 1180859680.

It is not an unprimeable number, because it can be changed into a prime (1180859683) 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 63 ways as a sum of consecutive naturals, for example, 11691630 + ... + 11691730.

It is an arithmetic number, because the mean of its divisors is an integer number (9986004).

Almost surely, 2^1180859680 is an apocalyptic number.

1180859680 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 1180859680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917312768).

1180859680 is an abundant number, since it is smaller than the sum of its proper divisors (2653765856).

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

1180859680 is a wasteful number, since it uses less digits than its factorization.

1180859680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The square root of 1180859680 is about 34363.6389225588. The cubic root of 1180859680 is about 1056.9783651677.

It can be divided in two parts, 118085 and 9680, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 1180859680 in words is "one billion, one hundred eighty million, eight hundred fifty-nine thousand, six hundred eighty".