30432080 has 80 divisors (see below), whose sum is σ = 83518464. Its totient is φ = 10091520.

The previous prime is 30432079. The next prime is 30432097. The reversal of 30432080 is 8023403.

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

It is a super-2 number, since 2×30432080² = 1852222986252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16484 + ... + 18236.

Almost surely, 2^30432080 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 30432080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41759232).

30432080 is an abundant number, since it is smaller than the sum of its proper divisors (53086384).

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

30432080 is a wasteful number, since it uses less digits than its factorization.

30432080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 30432080 is about 5516.5278935214. The cubic root of 30432080 is about 312.2078934411.

Adding to 30432080 its reverse (8023403), we get a palindrome (38455483).

The spelling of 30432080 in words is "thirty million, four hundred thirty-two thousand, eighty".