306906 has 8 divisors (see below), whose sum is σ = 613824. Its totient is φ = 102300.

The previous prime is 306899. The next prime is 306913. The reversal of 306906 is 609603.

306906 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (306899) and next prime (306913).

It is a sphenic number, since it is the product of 3 distinct primes.

306906 is an admirable number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306906.

It is an unprimeable number.

306906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25570 + ... + 25581.

It is an arithmetic number, because the mean of its divisors is an integer number (76728).

2³⁰⁶⁹⁰⁶ is an apocalyptic number.

306906 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

306906 is a wasteful number, since it uses less digits than its factorization.

306906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51156.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 306906 is about 553.9909746557. The cubic root of 306906 is about 67.4530812493.

The spelling of 306906 in words is "three hundred six thousand, nine hundred six".