305608640 has 56 divisors (see below), whose sum is σ = 733147632. Its totient is φ = 121333760.

The previous prime is 305608631. The next prime is 305608651. The reversal of 305608640 is 46806503.

305608640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 305608597 and 305608606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40355 + ... + 47325.

It is an arithmetic number, because the mean of its divisors is an integer number (13091922).

Almost surely, 2^305608640 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 305608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366573816).

305608640 is an abundant number, since it is smaller than the sum of its proper divisors (427538992).

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

305608640 is a wasteful number, since it uses less digits than its factorization.

305608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 305608640 is about 17481.6658245146. The cubic root of 305608640 is about 673.5790060842.

The spelling of 305608640 in words is "three hundred five million, six hundred eight thousand, six hundred forty".