30616768 has 84 divisors (see below), whose sum is σ = 76212192. Its totient is φ = 12096000.

The previous prime is 30616763. The next prime is 30616769. The reversal of 30616768 is 86761603.

It is not an unprimeable number, because it can be changed into a prime (30616763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40393 + ... + 41143.

It is an arithmetic number, because the mean of its divisors is an integer number (907288).

Almost surely, 2^30616768 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 30616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38106096).

30616768 is an abundant number, since it is smaller than the sum of its proper divisors (45595424).

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

30616768 is a wasteful number, since it uses less digits than its factorization.

30616768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 30616768 is about 5533.2420876011. The cubic root of 30616768 is about 312.8382019568.

The spelling of 30616768 in words is "thirty million, six hundred sixteen thousand, seven hundred sixty-eight".