32400000 has 240 divisors, whose sum is σ = 120519630. Its totient is φ = 8640000.

The previous prime is 32399987. The next prime is 32400007. The reversal of 32400000 is 423.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 32353344 = 216^2 + 5688^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (32400007) 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 29 ways as a sum of consecutive naturals, for example, 6479998 + ... + 6480002.

Almost surely, 2^32400000 is an apocalyptic number.

32400000 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 32400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60259815).

32400000 is an abundant number, since it is smaller than the sum of its proper divisors (88119630).

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

32400000 is an frugal number, since it uses more digits than its factorization.

32400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 32400000 is about 5692.0997883031. The cubic root of 32400000 is about 318.7975707548.

Multiplying 32400000 by its product of nonzero digits (24), we get a 5-th power (777600000 = 60⁵).

Adding to 32400000 its reverse (423), we get a palindrome (32400423).

The spelling of 32400000 in words is "thirty-two million, four hundred thousand".