30013680 has 80 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 7897344.

The previous prime is 30013667. The next prime is 30013723. The reversal of 30013680 is 8631003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18169 + ... + 19751.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^30013680 is an apocalyptic number.

30013680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30013680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

30013680 is an abundant number, since it is smaller than the sum of its proper divisors (64266000).

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

30013680 is a wasteful number, since it uses less digits than its factorization.

30013680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30013680 is about 5478.4742401512. The cubic root of 30013680 is about 310.7704733523.

Adding to 30013680 its reverse (8631003), we get a palindrome (38644683).

The spelling of 30013680 in words is "thirty million, thirteen thousand, six hundred eighty".