30820968 has 72 divisors (see below), whose sum is σ = 86620950. Its totient is φ = 9899904.

The previous prime is 30820961. The next prime is 30820969. The reversal of 30820968 is 86902803.

It can be written as a sum of positive squares in 3 ways, for example, as 29615364 + 1205604 = 5442^2 + 1098^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30820961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60298 + ... + 60806.

Almost surely, 2^30820968 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 30820968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43310475).

30820968 is an abundant number, since it is smaller than the sum of its proper divisors (55799982).

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

30820968 is a wasteful number, since it uses less digits than its factorization.

30820968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30820968 is about 5551.6635344732. The cubic root of 30820968 is about 313.5321579002.

The spelling of 30820968 in words is "thirty million, eight hundred twenty thousand, nine hundred sixty-eight".