1289400 has 96 divisors (see below), whose sum is σ = 4583040. Its totient is φ = 293760.

The previous prime is 1289381. The next prime is 1289401. The reversal of 1289400 is 49821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289401) 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 23 ways as a sum of consecutive naturals, for example, 4047 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (47740).

2^1289400 is an apocalyptic number.

1289400 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 1289400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291520).

1289400 is an abundant number, since it is smaller than the sum of its proper divisors (3293640).

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

1289400 is a wasteful number, since it uses less digits than its factorization.

1289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1289400 is about 1135.5175031676. The cubic root of 1289400 is about 108.8418434065.

The spelling of 1289400 in words is "one million, two hundred eighty-nine thousand, four hundred".