1289600 has 96 divisors (see below), whose sum is σ = 3541440. Its totient is φ = 460800.

The previous prime is 1289599. The next prime is 1289621. The reversal of 1289600 is 69821.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1289600.

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, 41585 + ... + 41615.

It is an arithmetic number, because the mean of its divisors is an integer number (36890).

2^1289600 is an apocalyptic number.

1289600 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 1289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770720).

1289600 is an abundant number, since it is smaller than the sum of its proper divisors (2251840).

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

1289600 is a wasteful number, since it uses less digits than its factorization.

1289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1289600 is about 1135.6055653263. The cubic root of 1289600 is about 108.8474706345.

The spelling of 1289600 in words is "one million, two hundred eighty-nine thousand, six hundred".