30768864 has 144 divisors (see below), whose sum is σ = 97445376. Its totient is φ = 8467200.

The previous prime is 30768853. The next prime is 30768869. The reversal of 30768864 is 46886703.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30768869) 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, 145719 + ... + 145929.

It is an arithmetic number, because the mean of its divisors is an integer number (676704).

Almost surely, 2^30768864 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 30768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48722688).

30768864 is an abundant number, since it is smaller than the sum of its proper divisors (66676512).

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

30768864 is a wasteful number, since it uses less digits than its factorization.

30768864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

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

The square root of 30768864 is about 5546.9689020221. The cubic root of 30768864 is about 313.3553789629.

The spelling of 30768864 in words is "thirty million, seven hundred sixty-eight thousand, eight hundred sixty-four".