32304000 has 128 divisors (see below), whose sum is σ = 107246880. Its totient is φ = 8601600.

The previous prime is 32303981. The next prime is 32304001. The reversal of 32304000 is 40323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32304001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47664 + ... + 48336.

Almost surely, 2^32304000 is an apocalyptic number.

32304000 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 32304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53623440).

32304000 is an abundant number, since it is smaller than the sum of its proper divisors (74942880).

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

32304000 is an equidigital number, since it uses as much as digits as its factorization.

32304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 32304000 is about 5683.6607921304. The cubic root of 32304000 is about 318.4823974690.

Adding to 32304000 its reverse (40323), we get a palindrome (32344323).

The spelling of 32304000 in words is "thirty-two million, three hundred four thousand".