336816 has 30 divisors (see below), whose sum is σ = 943020. Its totient is φ = 112224.

The previous prime is 336803. The next prime is 336823. The reversal of 336816 is 618633.

It is a super-2 number, since 2×336816² = 226890035712, 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 336816.

It is an unprimeable number.

336816 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, 1026 + ... + 1313.

It is an arithmetic number, because the mean of its divisors is an integer number (31434).

2³³⁶⁸¹⁶ is an apocalyptic number.

336816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

336816 is an abundant number, since it is smaller than the sum of its proper divisors (606204).

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

336816 is a wasteful number, since it uses less digits than its factorization.

336816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2344 counting only the distinct ones).

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

The square root of 336816 is about 580.3585098885. The cubic root of 336816 is about 69.5767659269.

The spelling of 336816 in words is "three hundred thirty-six thousand, eight hundred sixteen".