335968164 has 72 divisors (see below), whose sum is σ = 973132160. Its totient is φ = 95738112.

The previous prime is 335968163. The next prime is 335968169. The reversal of 335968164 is 461869533.

335968164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×335968164² = 225749214443061792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335968163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107577 + ... + 110655.

Almost surely, 2^335968164 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 335968164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486566080).

335968164 is an abundant number, since it is smaller than the sum of its proper divisors (637163996).

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

335968164 is a wasteful number, since it uses less digits than its factorization.

335968164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3524 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 335968164 is about 18329.4343611580. The cubic root of 335968164 is about 695.1833713821.

The spelling of 335968164 in words is "three hundred thirty-five million, nine hundred sixty-eight thousand, one hundred sixty-four".