30768816 has 60 divisors (see below), whose sum is σ = 86093448. Its totient is φ = 9464832.

The previous prime is 30768791. The next prime is 30768823. The reversal of 30768816 is 61886703.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 6216 + ... + 10008.

Almost surely, 2^30768816 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 30768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046724).

30768816 is an abundant number, since it is smaller than the sum of its proper divisors (55324632).

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

30768816 is a wasteful number, since it uses less digits than its factorization.

30768816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 30768816 is about 5546.9645753331. The cubic root of 30768816 is about 313.3552160161.

The spelling of 30768816 in words is "thirty million, seven hundred sixty-eight thousand, eight hundred sixteen".