30919968 has 120 divisors (see below), whose sum is σ = 92695680. Its totient is φ = 10108800.

The previous prime is 30919963. The next prime is 30919969. The reversal of 30919968 is 86991903.

It is a super-2 number, since 2×30919968² = 1912088842242048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30919963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204693 + ... + 204843.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 2^30919968 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 30919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46347840).

30919968 is an abundant number, since it is smaller than the sum of its proper divisors (61775712).

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

30919968 is a wasteful number, since it uses less digits than its factorization.

30919968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 30919968 is about 5560.5726323824. The cubic root of 30919968 is about 313.8674978830.

The spelling of 30919968 in words is "thirty million, nine hundred nineteen thousand, nine hundred sixty-eight".