32480000 has 180 divisors, whose sum is σ = 95781840. Its totient is φ = 10752000.

The previous prime is 32479973. The next prime is 32480011. The reversal of 32480000 is 8423.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1119986 + ... + 1120014.

Almost surely, 2^32480000 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 32480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47890920).

32480000 is an abundant number, since it is smaller than the sum of its proper divisors (63301840).

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

32480000 is an frugal number, since it uses more digits than its factorization.

32480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 32480000 is about 5699.1227395100. The cubic root of 32480000 is about 319.0597399278.

Adding to 32480000 its reverse (8423), we get a palindrome (32488423).

The spelling of 32480000 in words is "thirty-two million, four hundred eighty thousand".