30953120 has 96 divisors (see below), whose sum is σ = 81829440. Its totient is φ = 10967040.

The previous prime is 30953099. The next prime is 30953161. The reversal of 30953120 is 2135903.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75476 + ... + 75884.

It is an arithmetic number, because the mean of its divisors is an integer number (852390).

Almost surely, 2^30953120 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 30953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40914720).

30953120 is an abundant number, since it is smaller than the sum of its proper divisors (50876320).

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

30953120 is a wasteful number, since it uses less digits than its factorization.

30953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 30953120 is about 5563.5528217138. The cubic root of 30953120 is about 313.9796327412.

The spelling of 30953120 in words is "thirty million, nine hundred fifty-three thousand, one hundred twenty".