30132880 has 40 divisors (see below), whose sum is σ = 70479864. Its totient is φ = 11980800.

The previous prime is 30132877. The next prime is 30132887. The reversal of 30132880 is 8823103.

It can be written as a sum of positive squares in 4 ways, for example, as 190096 + 29942784 = 436^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (30132887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13440 + ... + 15520.

Almost surely, 2^30132880 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 30132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35239932).

30132880 is an abundant number, since it is smaller than the sum of its proper divisors (40346984).

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

30132880 is a wasteful number, since it uses less digits than its factorization.

30132880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 30132880 is about 5489.3424014175. The cubic root of 30132880 is about 311.1813405324.

Adding to 30132880 its reverse (8823103), we get a palindrome (38955983).

The spelling of 30132880 in words is "thirty million, one hundred thirty-two thousand, eight hundred eighty".