306516 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 84480.

The previous prime is 306511. The next prime is 306517. The reversal of 306516 is 615603.

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 = 306492 and 306501.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306516.

It is not an unprimeable number, because it can be changed into a prime (306511) by changing a digit.

306516 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 15 ways as a sum of consecutive naturals, for example, 3400 + ... + 3488.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³⁰⁶⁵¹⁶ 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 306516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

306516 is an abundant number, since it is smaller than the sum of its proper divisors (540204).

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

306516 is a wasteful number, since it uses less digits than its factorization.

306516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 306516 is about 553.6388714677. The cubic root of 306516 is about 67.4244971957.

It can be divided in two parts, 3065 and 16, that added together give a triangular number (3081 = T₇₈).

The spelling of 306516 in words is "three hundred six thousand, five hundred sixteen".