307680048 has 180 divisors, whose sum is σ = 955787040. Its totient is φ = 92312064.

The previous prime is 307680041. The next prime is 307680071. The reversal of 307680048 is 840086703.

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 = 307679994 and 307680021.

It is not an unprimeable number, because it can be changed into a prime (307680041) 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 35 ways as a sum of consecutive naturals, for example, 1143658 + ... + 1143926.

It is an arithmetic number, because the mean of its divisors is an integer number (5309928).

Almost surely, 2^307680048 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 307680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477893520).

307680048 is an abundant number, since it is smaller than the sum of its proper divisors (648106992).

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

307680048 is a wasteful number, since it uses less digits than its factorization.

307680048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 307680048 is about 17540.8109276624. The cubic root of 307680048 is about 675.0974147472.

The spelling of 307680048 in words is "three hundred seven million, six hundred eighty thousand, forty-eight".