1003200 has 168 divisors, whose sum is σ = 3779520. Its totient is φ = 230400.

The previous prime is 1003199. The next prime is 1003201. The reversal of 1003200 is 23001.

1003200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003199) and next prime (1003201).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1003201) 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, 52791 + ... + 52809.

2^1003200 is an apocalyptic number.

1003200 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 1003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889760).

1003200 is an abundant number, since it is smaller than the sum of its proper divisors (2776320).

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

1003200 is a wasteful number, since it uses less digits than its factorization.

1003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1003200 is about 1001.5987220439. The cubic root of 1003200 is about 100.1065530907.

Adding to 1003200 its reverse (23001), we get a palindrome (1026201).

The spelling of 1003200 in words is "one million, three thousand, two hundred".