1168064064 has 336 divisors, whose sum is σ = 3772204800. Its totient is φ = 357198336.

The previous prime is 1168064041. The next prime is 1168064089. The reversal of 1168064064 is 4604608611.

1168064064 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 0 + 640 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17433759 + ... + 17433825.

It is an arithmetic number, because the mean of its divisors is an integer number (11226800).

Almost surely, 2^1168064064 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 1168064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886102400).

1168064064 is an abundant number, since it is smaller than the sum of its proper divisors (2604140736).

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

1168064064 is an equidigital number, since it uses as much as digits as its factorization.

1168064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1168064064 is about 34176.9522339251. The cubic root of 1168064064 is about 1053.1467397227.

The spelling of 1168064064 in words is "one billion, one hundred sixty-eight million, sixty-four thousand, sixty-four".