1027200 has 96 divisors (see below), whose sum is σ = 3414960. Its totient is φ = 271360.

The previous prime is 1027199. The next prime is 1027207. The reversal of 1027200 is 27201.

It is a tau number, because it is divible by the number of its divisors (96).

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 (1027207) 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, 9547 + ... + 9653.

2^1027200 is an apocalyptic number.

1027200 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 1027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707480).

1027200 is an abundant number, since it is smaller than the sum of its proper divisors (2387760).

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

1027200 is a wasteful number, since it uses less digits than its factorization.

1027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1027200 is about 1013.5087567456. The cubic root of 1027200 is about 100.8985682337.

Subtracting from 1027200 its reverse (27201), we obtain a palindrome (999999).

The spelling of 1027200 in words is "one million, twenty-seven thousand, two hundred".