306816 has 64 divisors (see below), whose sum is σ = 881280. Its totient is φ = 94208.

The previous prime is 306809. The next prime is 306821. The reversal of 306816 is 618603.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable 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, 6505 + ... + 6551.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2³⁰⁶⁸¹⁶ 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 306816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

306816 is an abundant number, since it is smaller than the sum of its proper divisors (574464).

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

306816 is a wasteful number, since it uses less digits than its factorization.

306816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 306816 is about 553.9097399396. The cubic root of 306816 is about 67.4464870795.

It can be divided in two parts, 30 and 6816, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 306816 in words is "three hundred six thousand, eight hundred sixteen".