335616 has 72 divisors (see below), whose sum is σ = 981120. Its totient is φ = 101376.

The previous prime is 335609. The next prime is 335633. The reversal of 335616 is 616533.

335616 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×335616² = 225276198912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

335616 is an undulating number in base 15.

It is a congruent number.

It is an unprimeable number.

335616 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, 14581 + ... + 14603.

2³³⁵⁶¹⁶ 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 335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490560).

335616 is an abundant number, since it is smaller than the sum of its proper divisors (645504).

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

335616 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 335616 = (561336)₉.

335616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 335616 is about 579.3237436874. The cubic root of 335616 is about 69.4940387896.

The spelling of 335616 in words is "three hundred thirty-five thousand, six hundred sixteen".