30830688 has 144 divisors (see below), whose sum is σ = 102918816. Its totient is φ = 8570880.

The previous prime is 30830669. The next prime is 30830693. The reversal of 30830688 is 88603803.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 82470 + ... + 82842.

It is an arithmetic number, because the mean of its divisors is an integer number (714714).

Almost surely, 2^30830688 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 30830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51459408).

30830688 is an abundant number, since it is smaller than the sum of its proper divisors (72088128).

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

30830688 is a wasteful number, since it uses less digits than its factorization.

30830688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30830688 is about 5552.5388787473. The cubic root of 30830688 is about 313.5651139521.

The spelling of 30830688 in words is "thirty million, eight hundred thirty thousand, six hundred eighty-eight".