335664 has 100 divisors (see below), whose sum is σ = 1140304. Its totient is φ = 93312.

The previous prime is 335663. The next prime is 335669. The reversal of 335664 is 466533.

It is a super-2 number, since 2×335664² = 225340641792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 335664.

It is not an unprimeable number, because it can be changed into a prime (335663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9054 + ... + 9090.

2³³⁵⁶⁶⁴ 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 335664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570152).

335664 is an abundant number, since it is smaller than the sum of its proper divisors (804640).

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

335664 is a wasteful number, since it uses less digits than its factorization.

335664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 49 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 335664 is about 579.3651698195. The cubic root of 335664 is about 69.4973516580.

It can be divided in two parts, 335 and 664, that added together give a palindrome (999).

The spelling of 335664 in words is "three hundred thirty-five thousand, six hundred sixty-four".