1263200 has 36 divisors (see below), whose sum is σ = 3085740. Its totient is φ = 504960.

The previous prime is 1263193. The next prime is 1263209. The reversal of 1263200 is 23621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1263209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (85715).

2^1263200 is an apocalyptic number.

1263200 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 1263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542870).

1263200 is an abundant number, since it is smaller than the sum of its proper divisors (1822540).

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

1263200 is a wasteful number, since it uses less digits than its factorization.

1263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1263200 is about 1123.9217054582. The cubic root of 1263200 is about 108.0995880673.

Adding to 1263200 its reverse (23621), we get a palindrome (1286821).

The spelling of 1263200 in words is "one million, two hundred sixty-three thousand, two hundred".