1032200 has 48 divisors (see below), whose sum is σ = 2590980. Its totient is φ = 380160.

The previous prime is 1032193. The next prime is 1032211. The reversal of 1032200 is 22301.

It can be written as a sum of positive squares in 6 ways, for example, as 268324 + 763876 = 518^2 + 874^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2402 + ... + 2798.

2^1032200 is an apocalyptic number.

1032200 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 1032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295490).

1032200 is an abundant number, since it is smaller than the sum of its proper divisors (1558780).

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

1032200 is a wasteful number, since it uses less digits than its factorization.

1032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1032200 is about 1015.9724405711. The cubic root of 1032200 is about 101.0620146547.

Adding to 1032200 its reverse (22301), we get a palindrome (1054501).

The spelling of 1032200 in words is "one million, thirty-two thousand, two hundred".