305768016 has 60 divisors (see below), whose sum is σ = 866069568. Its totient is φ = 100690752.

The previous prime is 305767993. The next prime is 305768081. The reversal of 305768016 is 610867503.

305768016 is a `hidden beast` number, since 3 + 0 + 576 + 80 + 1 + 6 = 666.

305768016 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840 + ... + 24743.

Almost surely, 2^305768016 is an apocalyptic number.

305768016 is a gapful number since it is divisible by the number (36) 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 305768016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433034784).

305768016 is an abundant number, since it is smaller than the sum of its proper divisors (560301552).

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

305768016 is a wasteful number, since it uses less digits than its factorization.

305768016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25680 (or 25671 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 305768016 is about 17486.2236060277. The cubic root of 305768016 is about 673.6960770234.

The spelling of 305768016 in words is "three hundred five million, seven hundred sixty-eight thousand, sixteen".