338016 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 96384.

The previous prime is 337999. The next prime is 338017. The reversal of 338016 is 610833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×338016² = 228509632512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 337983 and 338001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338017) by changing a digit.

338016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2³³⁸⁰¹⁶ is an apocalyptic number.

338016 is the 336-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

338016 is an abundant number, since it is smaller than the sum of its proper divisors (678048).

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

338016 is a wasteful number, since it uses less digits than its factorization.

338016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 338016 is about 581.3914344054. The cubic root of 338016 is about 69.6592968046.

Adding to 338016 its reverse (610833), we get a palindrome (948849).

The spelling of 338016 in words is "three hundred thirty-eight thousand, sixteen".