1206828168 has 256 divisors, whose sum is σ = 3956736000. Its totient is φ = 297851904.

The previous prime is 1206828167. The next prime is 1206828191. The reversal of 1206828168 is 8618286021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1206828167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5269878 + ... + 5270106.

It is an arithmetic number, because the mean of its divisors is an integer number (15456000).

Almost surely, 2^1206828168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206828168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978368000).

1206828168 is an abundant number, since it is smaller than the sum of its proper divisors (2749907832).

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

1206828168 is a wasteful number, since it uses less digits than its factorization.

1206828168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1206828168 is about 34739.4324651397. The cubic root of 1206828168 is about 1064.6703169619.

The spelling of 1206828168 in words is "one billion, two hundred six million, eight hundred twenty-eight thousand, one hundred sixty-eight".