1179166920 has 256 divisors, whose sum is σ = 3886444800. Its totient is φ = 285081600.

The previous prime is 1179166909. The next prime is 1179166927. The reversal of 1179166920 is 296619711.

It is a Cunningham number, because it is equal to 34339²-1.

It is not an unprimeable number, because it can be changed into a prime (1179166927) 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, 11674870 + ... + 11674970.

It is an arithmetic number, because the mean of its divisors is an integer number (15181425).

Almost surely, 2^1179166920 is an apocalyptic number.

1179166920 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 1179166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943222400).

1179166920 is an abundant number, since it is smaller than the sum of its proper divisors (2707277880).

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

1179166920 is a wasteful number, since it uses less digits than its factorization.

1179166920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 1179166920 is about 34338.9999854393. Note that the first 4 decimals coincide. The cubic root of 1179166920 is about 1056.4730648478.

The spelling of 1179166920 in words is "one billion, one hundred seventy-nine million, one hundred sixty-six thousand, nine hundred twenty".