30853120 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 11714560.

The previous prime is 30853117. The next prime is 30853139. The reversal of 30853120 is 2135803.

It is a junction number, because it is equal to n+sod(n) for n = 30853091 and 30853100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235455 + ... + 235585.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 2^30853120 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 30853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

30853120 is an abundant number, since it is smaller than the sum of its proper divisors (46984640).

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

30853120 is a wasteful number, since it uses less digits than its factorization.

30853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 30853120 is about 5554.5584883049. The cubic root of 30853120 is about 313.6411441227.

Adding to 30853120 its reverse (2135803), we get a palindrome (32988923).

The spelling of 30853120 in words is "thirty million, eight hundred fifty-three thousand, one hundred twenty".