32404000 has 48 divisors (see below), whose sum is σ = 79626456. Its totient is φ = 12960000.

The previous prime is 32403997. The next prime is 32404003. The reversal of 32404000 is 40423.

It is an interprime number because it is at equal distance from previous prime (32403997) and next prime (32404003).

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 10837264 = 4644^2 + 3292^2 .

It is not an unprimeable number, because it can be changed into a prime (32404003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 8050.

Almost surely, 2^32404000 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 32404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39813228).

32404000 is an abundant number, since it is smaller than the sum of its proper divisors (47222456).

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

32404000 is an equidigital number, since it uses as much as digits as its factorization.

32404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 32404000 is about 5692.4511416436. The cubic root of 32404000 is about 318.8106894565.

Adding to 32404000 its reverse (40423), we get a palindrome (32444423).

It can be divided in two parts, 3240 and 4000, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 32404000 in words is "thirty-two million, four hundred four thousand".