30339680 has 96 divisors (see below), whose sum is σ = 83026944. Its totient is φ = 10262016.

The previous prime is 30339671. The next prime is 30339689. The reversal of 30339680 is 8693303.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30339671) and next prime (30339689).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30339689) 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 15 ways as a sum of consecutive naturals, for example, 115229 + ... + 115491.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 2^30339680 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 30339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513472).

30339680 is an abundant number, since it is smaller than the sum of its proper divisors (52687264).

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

30339680 is a wasteful number, since it uses less digits than its factorization.

30339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 30339680 is about 5508.1466937619. The cubic root of 30339680 is about 311.8915906505.

The spelling of 30339680 in words is "thirty million, three hundred thirty-nine thousand, six hundred eighty".