307641680 has 90 divisors (see below), whose sum is σ = 749252826. Its totient is φ = 117471744.

The previous prime is 307641623. The next prime is 307641703. The reversal of 307641680 is 86146703.

It can be written as a sum of positive squares in 9 ways, for example, as 14684224 + 292957456 = 3832^2 + 17116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 307641680.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 5804534 + ... + 5804586.

Almost surely, 2^307641680 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 307641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374626413).

307641680 is an abundant number, since it is smaller than the sum of its proper divisors (441611146).

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

307641680 is an equidigital number, since it uses as much as digits as its factorization.

307641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 307641680 is about 17539.7172155084. The cubic root of 307641680 is about 675.0693518135.

The spelling of 307641680 in words is "three hundred seven million, six hundred forty-one thousand, six hundred eighty".