1185294880 has 384 divisors, whose sum is σ = 3762339840. Its totient is φ = 341975040.

The previous prime is 1185294823. The next prime is 1185294881. The reversal of 1185294880 is 884925811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1185294880.

It is not an unprimeable number, because it can be changed into a prime (1185294881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13317876 + ... + 13317964.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2^1185294880 is an apocalyptic number.

1185294880 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 1185294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881169920).

1185294880 is an abundant number, since it is smaller than the sum of its proper divisors (2577044960).

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

1185294880 is a wasteful number, since it uses less digits than its factorization.

1185294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The square root of 1185294880 is about 34428.1117693085. Note that the first 3 decimals coincide. The cubic root of 1185294880 is about 1058.3000162836.

It can be divided in two parts, 1185 and 294880, that added together give a triangular number (296065 = T₇₆₉).

The spelling of 1185294880 in words is "one billion, one hundred eighty-five million, two hundred ninety-four thousand, eight hundred eighty".