30620128 has 144 divisors (see below), whose sum is σ = 81696384. Its totient is φ = 10967040.

The previous prime is 30620119. The next prime is 30620129. The reversal of 30620128 is 82102603.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30620099 and 30620108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30620129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712075 + ... + 712117.

It is an arithmetic number, because the mean of its divisors is an integer number (567336).

Almost surely, 2^30620128 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 30620128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40848192).

30620128 is an abundant number, since it is smaller than the sum of its proper divisors (51076256).

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

30620128 is a wasteful number, since it uses less digits than its factorization.

30620128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30620128 is about 5533.5456987360. The cubic root of 30620128 is about 312.8496455543.

The spelling of 30620128 in words is "thirty million, six hundred twenty thousand, one hundred twenty-eight".