30516768 has 144 divisors (see below), whose sum is σ = 96235776. Its totient is φ = 9123840.

The previous prime is 30516767. The next prime is 30516779. The reversal of 30516768 is 86761503.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30516763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112473 + ... + 112743.

It is an arithmetic number, because the mean of its divisors is an integer number (668304).

Almost surely, 2^30516768 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 30516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48117888).

30516768 is an abundant number, since it is smaller than the sum of its proper divisors (65719008).

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

30516768 is a wasteful number, since it uses less digits than its factorization.

30516768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

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

The square root of 30516768 is about 5524.1984033885. The cubic root of 30516768 is about 312.4972347489.

The spelling of 30516768 in words is "thirty million, five hundred sixteen thousand, seven hundred sixty-eight".