30216960 has 216 divisors, whose sum is σ = 108732624. Its totient is φ = 7741440.

The previous prime is 30216941. The next prime is 30216997. The reversal of 30216960 is 6961203.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495330 + ... + 495390.

Almost surely, 2^30216960 is an apocalyptic number.

30216960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54366312).

30216960 is an abundant number, since it is smaller than the sum of its proper divisors (78515664).

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

30216960 is a wasteful number, since it uses less digits than its factorization.

30216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30216960 is about 5496.9955430217. The cubic root of 30216960 is about 311.4705022880.

The spelling of 30216960 in words is "thirty million, two hundred sixteen thousand, nine hundred sixty".