30915968 has 64 divisors (see below), whose sum is σ = 65031120. Its totient is φ = 14622720.

The previous prime is 30915967. The next prime is 30915971. The reversal of 30915968 is 86951903.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30915961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225596 + ... + 225732.

Almost surely, 2^30915968 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 30915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32515560).

30915968 is an abundant number, since it is smaller than the sum of its proper divisors (34115152).

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

30915968 is a wasteful number, since it uses less digits than its factorization.

30915968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 30915968 is about 5560.2129455624. The cubic root of 30915968 is about 313.8539626799.

The spelling of 30915968 in words is "thirty million, nine hundred fifteen thousand, nine hundred sixty-eight".