30032880 has 120 divisors (see below), whose sum is σ = 99129072. Its totient is φ = 7520256.

The previous prime is 30032861. The next prime is 30032909. The reversal of 30032880 is 8823003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30032880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69144 + ... + 69576.

Almost surely, 2^30032880 is an apocalyptic number.

30032880 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 30032880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49564536).

30032880 is an abundant number, since it is smaller than the sum of its proper divisors (69096192).

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

30032880 is a wasteful number, since it uses less digits than its factorization.

30032880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 30032880 is about 5480.2262727008. The cubic root of 30032880 is about 310.8367267098.

Adding to 30032880 its reverse (8823003), we get a palindrome (38855883).

The spelling of 30032880 in words is "thirty million, thirty-two thousand, eight hundred eighty".