1063200 has 72 divisors (see below), whose sum is σ = 3468528. Its totient is φ = 282880.

The previous prime is 1063193. The next prime is 1063201. The reversal of 1063200 is 23601.

It is a super-2 number, since 2×1063200² = 2260788480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1063201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2179 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (48174).

2^1063200 is an apocalyptic number.

1063200 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 1063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734264).

1063200 is an abundant number, since it is smaller than the sum of its proper divisors (2405328).

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

1063200 is a wasteful number, since it uses less digits than its factorization.

1063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1063200 is about 1031.1159003720. The cubic root of 1063200 is about 102.0637817154.

Adding to 1063200 its reverse (23601), we get a palindrome (1086801).

The spelling of 1063200 in words is "one million, sixty-three thousand, two hundred".