30945768 has 64 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 8780736.

The previous prime is 30945757. The next prime is 30945769. The reversal of 30945768 is 86754903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30945769) 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, 27505 + ... + 28607.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^30945768 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 30945768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513280).

30945768 is an abundant number, since it is smaller than the sum of its proper divisors (58080792).

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

30945768 is a wasteful number, since it uses less digits than its factorization.

30945768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 30945768 is about 5562.8920535995. The cubic root of 30945768 is about 313.9547719081.

It can be divided in two parts, 30945 and 768, that added together give a palindrome (31713).

The spelling of 30945768 in words is "thirty million, nine hundred forty-five thousand, seven hundred sixty-eight".