306124672 has 64 divisors (see below), whose sum is σ = 701964000. Its totient is φ = 130258944.

The previous prime is 306124633. The next prime is 306124673. The reversal of 306124672 is 276421603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306124673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132358 + ... + 134650.

Almost surely, 2^306124672 is an apocalyptic number.

306124672 is a gapful number since it is divisible by the number (32) 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 306124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350982000).

306124672 is an abundant number, since it is smaller than the sum of its proper divisors (395839328).

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

306124672 is a wasteful number, since it uses less digits than its factorization.

306124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 306124672 is about 17496.4188335785. The cubic root of 306124672 is about 673.9579142920.

The spelling of 306124672 in words is "three hundred six million, one hundred twenty-four thousand, six hundred seventy-two".