246816 has 36 divisors (see below), whose sum is σ = 702702. Its totient is φ = 82176.

The previous prime is 246811. The next prime is 246817. The reversal of 246816 is 618642.

It can be written as a sum of positive squares in only one way, i.e., 156816 + 90000 = 396^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×246816³ = 45106713339199488, which contains 333 as substring.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 246816.

It is not an unprimeable number, because it can be changed into a prime (246811) by changing a digit.

246816 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, 141 + ... + 716.

2²⁴⁶⁸¹⁶ is an apocalyptic number.

It is an amenable number.

246816 is an abundant number, since it is smaller than the sum of its proper divisors (455886).

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

246816 is a wasteful number, since it uses less digits than its factorization.

246816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 246816 is about 496.8057970676. The cubic root of 246816 is about 62.7274697823.

The spelling of 246816 in words is "two hundred forty-six thousand, eight hundred sixteen".