335551968 has 144 divisors (see below), whose sum is σ = 1004814720. Its totient is φ = 106013952.

The previous prime is 335551961. The next prime is 335551973. The reversal of 335551968 is 869155533.

335551968 is a `hidden beast` number, since 3 + 3 + 5 + 551 + 96 + 8 = 666.

335551968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×335551968² = 225190246457346048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335551961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185555 + ... + 1185837.

It is an arithmetic number, because the mean of its divisors is an integer number (6977880).

Almost surely, 2^335551968 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 335551968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502407360).

335551968 is an abundant number, since it is smaller than the sum of its proper divisors (669262752).

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

335551968 is a wasteful number, since it uses less digits than its factorization.

335551968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 335551968 is about 18318.0776283976. The cubic root of 335551968 is about 694.8961893151.

The spelling of 335551968 in words is "three hundred thirty-five million, five hundred fifty-one thousand, nine hundred sixty-eight".