30803968 has 72 divisors (see below), whose sum is σ = 67444650. Its totient is φ = 14057472.

The previous prime is 30803951. The next prime is 30804031. The reversal of 30803968 is 86930803.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10445824 + 20358144 = 3232^2 + 4512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346068 + ... + 346156.

Almost surely, 2^30803968 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 30803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33722325).

30803968 is an abundant number, since it is smaller than the sum of its proper divisors (36640682).

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

30803968 is an equidigital number, since it uses as much as digits as its factorization.

30803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 30803968 is about 5550.1322506766. The cubic root of 30803968 is about 313.4745020542.

The spelling of 30803968 in words is "thirty million, eight hundred three thousand, nine hundred sixty-eight".