32430080 has 48 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 12967936.

The previous prime is 32430071. The next prime is 32430089. The reversal of 32430080 is 8003423.

It is an interprime number because it is at equal distance from previous prime (32430071) and next prime (32430089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32430089) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8657 + ... + 11823.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^32430080 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 32430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

32430080 is an abundant number, since it is smaller than the sum of its proper divisors (45407680).

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

32430080 is an equidigital number, since it uses as much as digits as its factorization.

32430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3174 counting only the distinct ones).

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

The square root of 32430080 is about 5694.7414339898. The cubic root of 32430080 is about 318.8961969365.

The spelling of 32430080 in words is "thirty-two million, four hundred thirty thousand, eighty".