32268416 has 32 divisors (see below), whose sum is σ = 66509100. Its totient is φ = 15576064.

The previous prime is 32268413. The next prime is 32268421. The reversal of 32268416 is 61486223.

It can be written as a sum of positive squares in 2 ways, for example, as 30030400 + 2238016 = 5480^2 + 1496^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×32268416² = 2082501342298112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (32268413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 635 + ... + 8058.

Almost surely, 2^32268416 is an apocalyptic number.

It is an amenable number.

32268416 is an abundant number, since it is smaller than the sum of its proper divisors (34240684).

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

32268416 is an equidigital number, since it uses as much as digits as its factorization.

32268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736 (or 8724 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 32268416 is about 5680.5295527794. The cubic root of 32268416 is about 318.3654146251.

The spelling of 32268416 in words is "thirty-two million, two hundred sixty-eight thousand, four hundred sixteen".