1632160000 has 135 divisors (see below), whose sum is σ = 4111834573. Its totient is φ = 646400000.

The previous prime is 1632159989. The next prime is 1632160009. The reversal of 1632160000 is 612361.

The square root of 1632160000 is 40400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 352237824 + 1279922176 = 18768^2 + 35776^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1632160000.

It is not an unprimeable number, because it can be changed into a prime (1632160009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16159950 + ... + 16160050.

Almost surely, 2^1632160000 is an apocalyptic number.

1632160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1632160000 is the 40400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1632160000

1632160000 is an abundant number, since it is smaller than the sum of its proper divisors (2479674573).

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

1632160000 is an frugal number, since it uses more digits than its factorization.

1632160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The cubic root of 1632160000 is about 1177.3915377097.

Adding to 1632160000 its reverse (612361), we get a palindrome (1632772361).

The spelling of 1632160000 in words is "one billion, six hundred thirty-two million, one hundred sixty thousand".