1032543200 has 144 divisors (see below), whose sum is σ = 2744261856. Its totient is φ = 377088000.

The previous prime is 1032543181. The next prime is 1032543227. The reversal of 1032543200 is 23452301.

It is a happy number.

It is a super-2 number, since 2×1032543200² = 2132290919732480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049909 + ... + 1050891.

It is an arithmetic number, because the mean of its divisors is an integer number (19057374).

Almost surely, 2^1032543200 is an apocalyptic number.

1032543200 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 1032543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372130928).

1032543200 is an abundant number, since it is smaller than the sum of its proper divisors (1711718656).

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

1032543200 is a wasteful number, since it uses less digits than its factorization.

1032543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1032543200 is about 32133.2102348956. The cubic root of 1032543200 is about 1010.7321424138.

Adding to 1032543200 its reverse (23452301), we get a palindrome (1055995501).

The spelling of 1032543200 in words is "one billion, thirty-two million, five hundred forty-three thousand, two hundred".