30827968 has 28 divisors (see below), whose sum is σ = 61657992. Its totient is φ = 15292160.

The previous prime is 30827963. The next prime is 30827971. The reversal of 30827968 is 86972803.

It is a super-3 number, since 3×30827968³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30827963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6546 + ... + 10222.

Almost surely, 2^30827968 is an apocalyptic number.

It is an amenable number.

30827968 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

30827968 is a wasteful number, since it uses less digits than its factorization.

30827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 30827968 is about 5552.2939403457. The cubic root of 30827968 is about 313.5558923805. Note that the first 3 decimals are identical.

The spelling of 30827968 in words is "thirty million, eight hundred twenty-seven thousand, nine hundred sixty-eight".