1632125200 has 120 divisors (see below), whose sum is σ = 4143155456. Its totient is φ = 616896000.

The previous prime is 1632125189. The next prime is 1632125203. The reversal of 1632125200 is 25212361.

It is not an unprimeable number, because it can be changed into a prime (1632125203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531670 + ... + 534730.

Almost surely, 2^1632125200 is an apocalyptic number.

1632125200 is a gapful number since it is divisible by the number (10) 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 1632125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071577728).

1632125200 is an abundant number, since it is smaller than the sum of its proper divisors (2511030256).

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

1632125200 is a wasteful number, since it uses less digits than its factorization.

1632125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1632125200 is about 40399.5693046349. The cubic root of 1632125200 is about 1177.3831697562.

Adding to 1632125200 its reverse (25212361), we get a palindrome (1657337561).

The spelling of 1632125200 in words is "one billion, six hundred thirty-two million, one hundred twenty-five thousand, two hundred".