306539640 has 384 divisors, whose sum is σ = 1169925120. Its totient is φ = 71539200.

The previous prime is 306539627. The next prime is 306539641. The reversal of 306539640 is 46935603.

306539640 is a `hidden beast` number, since 3 + 0 + 6 + 5 + 3 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 306539595 and 306539604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306539641) 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 95 ways as a sum of consecutive naturals, for example, 5025210 + ... + 5025270.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^306539640 is an apocalyptic number.

306539640 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 306539640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

306539640 is an abundant number, since it is smaller than the sum of its proper divisors (863385480).

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

306539640 is a wasteful number, since it uses less digits than its factorization.

306539640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 306539640 is about 17508.2734728471. The cubic root of 306539640 is about 674.2623051920.

The spelling of 306539640 in words is "three hundred six million, five hundred thirty-nine thousand, six hundred forty".