30127968 has 108 divisors (see below), whose sum is σ = 92923740. Its totient is φ = 9255168.

The previous prime is 30127963. The next prime is 30127991. The reversal of 30127968 is 86972103.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30127963) 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, 48363 + ... + 48981.

It is an arithmetic number, because the mean of its divisors is an integer number (860405).

Almost surely, 2^30127968 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 30127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46461870).

30127968 is an abundant number, since it is smaller than the sum of its proper divisors (62795772).

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

30127968 is a wasteful number, since it uses less digits than its factorization.

30127968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30127968 is about 5488.8949707569. The cubic root of 30127968 is about 311.1644309217.

The spelling of 30127968 in words is "thirty million, one hundred twenty-seven thousand, nine hundred sixty-eight".