305096064 has 128 divisors (see below), whose sum is σ = 997543680. Its totient is φ = 80455680.

The previous prime is 305096063. The next prime is 305096087. The reversal of 305096064 is 460690503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305096063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30579 + ... + 39309.

It is an arithmetic number, because the mean of its divisors is an integer number (7793310).

Almost surely, 2^305096064 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 305096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498771840).

305096064 is an abundant number, since it is smaller than the sum of its proper divisors (692447616).

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

305096064 is a wasteful number, since it uses less digits than its factorization.

305096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 305096064 is about 17466.9992843648. Note that the first 3 decimals coincide. The cubic root of 305096064 is about 673.2022130287.

The spelling of 305096064 in words is "three hundred five million, ninety-six thousand, sixty-four".