1289200 has 60 divisors (see below), whose sum is σ = 3390408. Its totient is φ = 467200.

The previous prime is 1289179. The next prime is 1289213. The reversal of 1289200 is 29821.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4254 + ... + 4546.

2^1289200 is an apocalyptic number.

1289200 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 1289200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695204).

1289200 is an abundant number, since it is smaller than the sum of its proper divisors (2101208).

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

1289200 is a wasteful number, since it uses less digits than its factorization.

1289200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1289200 is about 1135.4294341790. The cubic root of 1289200 is about 108.8362155966.

The spelling of 1289200 in words is "one million, two hundred eighty-nine thousand, two hundred".