30864080 has 80 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 11180544.

The previous prime is 30864079. The next prime is 30864083. The reversal of 30864080 is 8046803.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30864083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61109 + ... + 61611.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^30864080 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 30864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

30864080 is an abundant number, since it is smaller than the sum of its proper divisors (47880880).

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

30864080 is a wasteful number, since it uses less digits than its factorization.

30864080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 30864080 is about 5555.5449777677. The cubic root of 30864080 is about 313.6782781304.

The spelling of 30864080 in words is "thirty million, eight hundred sixty-four thousand, eighty".