1023200 has 36 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 408960.

The previous prime is 1023199. The next prime is 1023203. The reversal of 1023200 is 23201.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

2^1023200 is an apocalyptic number.

1023200 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 1023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

1023200 is an abundant number, since it is smaller than the sum of its proper divisors (1476640).

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

1023200 is a wasteful number, since it uses less digits than its factorization.

1023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1286 counting only the distinct ones).

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

The square root of 1023200 is about 1011.5334893121. The cubic root of 1023200 is about 100.7674287979.

Adding to 1023200 its reverse (23201), we get a palindrome (1046401).

Subtracting from 1023200 its reverse (23201), we obtain a palindrome (999999).

The spelling of 1023200 in words is "one million, twenty-three thousand, two hundred".