307385640 has 192 divisors, whose sum is σ = 1049967360. Its totient is φ = 77898240.

The previous prime is 307385599. The next prime is 307385647. The reversal of 307385640 is 46583703.

It is a happy number.

307385640 is a `hidden beast` number, since 3 + 0 + 7 + 3 + 8 + 5 + 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 = 307385595 and 307385604.

It is not an unprimeable number, because it can be changed into a prime (307385647) 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 47 ways as a sum of consecutive naturals, for example, 625795 + ... + 626285.

It is an arithmetic number, because the mean of its divisors is an integer number (5468580).

Almost surely, 2^307385640 is an apocalyptic number.

307385640 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 307385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524983680).

307385640 is an abundant number, since it is smaller than the sum of its proper divisors (742581720).

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

307385640 is a wasteful number, since it uses less digits than its factorization.

307385640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 307385640 is about 17532.4168328271. The cubic root of 307385640 is about 674.8820205325.

It can be divided in two parts, 307385 and 640, that added together give a square (308025 = 555²).

The spelling of 307385640 in words is "three hundred seven million, three hundred eighty-five thousand, six hundred forty".