1259104 has 72 divisors (see below), whose sum is σ = 3188808. Its totient is φ = 483840.

The previous prime is 1259099. The next prime is 1259107. The reversal of 1259104 is 4019521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259107) 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, 17212 + ... + 17284.

It is an arithmetic number, because the mean of its divisors is an integer number (44289).

2^1259104 is an apocalyptic number.

1259104 is a gapful number since it is divisible by the number (14) 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 1259104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594404).

1259104 is an abundant number, since it is smaller than the sum of its proper divisors (1929704).

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

1259104 is a wasteful number, since it uses less digits than its factorization.

1259104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1259104 is about 1122.0980349328. The cubic root of 1259104 is about 107.9826218037.

It can be divided in two parts, 125 and 9104, that added together give a palindrome (9229).

The spelling of 1259104 in words is "one million, two hundred fifty-nine thousand, one hundred four".