306660 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 77184.

The previous prime is 306653. The next prime is 306661. The reversal of 306660 is 66603.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306660.

It is not an unprimeable number, because it can be changed into a prime (306661) by changing a digit.

306660 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, 1006 + ... + 1274.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁰⁶⁶⁶⁰ is an apocalyptic number.

306660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

306660 is an abundant number, since it is smaller than the sum of its proper divisors (600540).

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

306660 is a wasteful number, since it uses less digits than its factorization.

306660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 306660 is about 553.7689048692. The cubic root of 306660 is about 67.4350541297.

The spelling of 306660 in words is "three hundred six thousand, six hundred sixty".