335368 has 32 divisors (see below), whose sum is σ = 711360. Its totient is φ = 146880.

The previous prime is 335347. The next prime is 335381. The reversal of 335368 is 863533.

It is a super-2 number, since 2×335368² = 224943390848, which contains 22 as substring.

It is an unprimeable number.

335368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 3205 + ... + 3307.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2³³⁵³⁶⁸ 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 335368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355680).

335368 is an abundant number, since it is smaller than the sum of its proper divisors (375992).

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

335368 is a wasteful number, since it uses less digits than its factorization.

335368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 335368 is about 579.1096614632. The cubic root of 335368 is about 69.4769172694.

It can be divided in two parts, 335 and 368, that added together give a triangular number (703 = T₃₇).

The spelling of 335368 in words is "three hundred thirty-five thousand, three hundred sixty-eight".