32416000 has 72 divisors (see below), whose sum is σ = 80832024. Its totient is φ = 12953600.

The previous prime is 32415989. The next prime is 32416003. The reversal of 32416000 is 61423.

It can be written as a sum of positive squares in 4 ways, for example, as 9834496 + 22581504 = 3136^2 + 4752^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32416003) 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, 31494 + ... + 32506.

It is an arithmetic number, because the mean of its divisors is an integer number (1122667).

Almost surely, 2^32416000 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 32416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40416012).

32416000 is an abundant number, since it is smaller than the sum of its proper divisors (48416024).

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

32416000 is an equidigital number, since it uses as much as digits as its factorization.

32416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 32416000 is about 5693.5050715706. The cubic root of 32416000 is about 318.8500390853.

Adding to 32416000 its reverse (61423), we get a palindrome (32477423).

The spelling of 32416000 in words is "thirty-two million, four hundred sixteen thousand".