336611968 has 256 divisors, whose sum is σ = 925344000. Its totient is φ = 120422400.

The previous prime is 336611963. The next prime is 336611987. The reversal of 336611968 is 869116633.

It is a super-2 number, since 2×336611968² = 226615234001666048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336611963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8210028 + ... + 8210068.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^336611968 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 336611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

336611968 is an abundant number, since it is smaller than the sum of its proper divisors (588732032).

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

336611968 is a wasteful number, since it uses less digits than its factorization.

336611968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its digits is 139968, while the sum is 43.

The square root of 336611968 is about 18346.9879816824. The cubic root of 336611968 is about 695.6271398745.

The spelling of 336611968 in words is "three hundred thirty-six million, six hundred eleven thousand, nine hundred sixty-eight".