32145408 has 96 divisors (see below), whose sum is σ = 93715050. Its totient is φ = 10616832.

The previous prime is 32145403. The next prime is 32145433. The reversal of 32145408 is 80454123.

It can be written as a sum of positive squares in only one way, i.e., 24920064 + 7225344 = 4992^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (32145403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294858 + ... + 294966.

Almost surely, 2^32145408 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 32145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46857525).

32145408 is an abundant number, since it is smaller than the sum of its proper divisors (61569642).

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

32145408 is an equidigital number, since it uses as much as digits as its factorization.

32145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 32145408 is about 5669.6920551296. The cubic root of 32145408 is about 317.9603605509.

The spelling of 32145408 in words is "thirty-two million, one hundred forty-five thousand, four hundred eight".