30946968 has 128 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 9341568.

The previous prime is 30946961. The next prime is 30946999. The reversal of 30946968 is 86964903.

It is a Cunningham number, because it is equal to 5563²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30946961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289171 + ... + 289277.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^30946968 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 30946968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

30946968 is an abundant number, since it is smaller than the sum of its proper divisors (63401832).

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

30946968 is a wasteful number, since it uses less digits than its factorization.

30946968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 30946968 is about 5562.9999101204. Note that the first 4 decimals coincide. The cubic root of 30946968 is about 313.9588299843.

The spelling of 30946968 in words is "thirty million, nine hundred forty-six thousand, nine hundred sixty-eight".