306064768 has 64 divisors (see below), whose sum is σ = 645476400. Its totient is φ = 144156672.

The previous prime is 306064747. The next prime is 306064789. The reversal of 306064768 is 867460603.

It is an interprime number because it is at equal distance from previous prime (306064747) and next prime (306064789).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 306064768.

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, 770746 + ... + 771142.

Almost surely, 2^306064768 is an apocalyptic number.

306064768 is a gapful number since it is divisible by the number (38) 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 306064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322738200).

306064768 is an abundant number, since it is smaller than the sum of its proper divisors (339411632).

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

306064768 is a wasteful number, since it uses less digits than its factorization.

306064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 306064768 is about 17494.7068566467. The cubic root of 306064768 is about 673.9139502774.

The spelling of 306064768 in words is "three hundred six million, sixty-four thousand, seven hundred sixty-eight".