338616 has 24 divisors (see below), whose sum is σ = 917280. Its totient is φ = 112848.

The previous prime is 338609. The next prime is 338659. The reversal of 338616 is 616833.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×338616² = 229321590912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 338616.

It is a congruent number.

It is an unprimeable number.

338616 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 5 ways as a sum of consecutive naturals, for example, 2280 + ... + 2423.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2³³⁸⁶¹⁶ is an apocalyptic number.

338616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

338616 is an abundant number, since it is smaller than the sum of its proper divisors (578664).

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

338616 is a wasteful number, since it uses less digits than its factorization.

338616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4708 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 338616 is about 581.9072090978. The cubic root of 338616 is about 69.7004890091.

It can be divided in two parts, 33 and 8616, that added together give a square (8649 = 93²).

The spelling of 338616 in words is "three hundred thirty-eight thousand, six hundred sixteen".