30864768 has 64 divisors (see below), whose sum is σ = 89449920. Its totient is φ = 9351680.

The previous prime is 30864763. The next prime is 30864793. The reversal of 30864768 is 86746803.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30864763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 571 + ... + 7877.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 2^30864768 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 30864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724960).

30864768 is an abundant number, since it is smaller than the sum of its proper divisors (58585152).

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

30864768 is a wasteful number, since it uses less digits than its factorization.

30864768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 30864768 is about 5555.6068975405. The cubic root of 30864768 is about 313.6806088770.

The spelling of 30864768 in words is "thirty million, eight hundred sixty-four thousand, seven hundred sixty-eight".