30731968 has 56 divisors (see below), whose sum is σ = 65024000. Its totient is φ = 14370048.

The previous prime is 30731963. The next prime is 30731989. The reversal of 30731968 is 86913703.

It is not an unprimeable number, because it can be changed into a prime (30731963) 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 7 ways as a sum of consecutive naturals, for example, 154333 + ... + 154531.

Almost surely, 2^30731968 is an apocalyptic number.

30731968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32512000).

30731968 is an abundant number, since it is smaller than the sum of its proper divisors (34292032).

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

30731968 is a wasteful number, since it uses less digits than its factorization.

30731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 30731968 is about 5543.6421240913. The cubic root of 30731968 is about 313.2300771380.

It can be divided in two parts, 3073 and 1968, that added together give a square (5041 = 71²).

The spelling of 30731968 in words is "thirty million, seven hundred thirty-one thousand, nine hundred sixty-eight".