306368920 has 128 divisors (see below), whose sum is σ = 852768000. Its totient is φ = 97390080.

The previous prime is 306368911. The next prime is 306368921. The reversal of 306368920 is 29863603.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 306368920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306368921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 107271 + ... + 110089.

It is an arithmetic number, because the mean of its divisors is an integer number (6662250).

Almost surely, 2^306368920 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 306368920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426384000).

306368920 is an abundant number, since it is smaller than the sum of its proper divisors (546399080).

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

306368920 is a wasteful number, since it uses less digits than its factorization.

306368920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 306368920 is about 17503.3973845080. The cubic root of 306368920 is about 674.1371104683.

The spelling of 306368920 in words is "three hundred six million, three hundred sixty-eight thousand, nine hundred twenty".