1589120 has 64 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 583680.

The previous prime is 1589089. The next prime is 1589123. The reversal of 1589120 is 219851.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1589120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1589123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8225 + ... + 8415.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

2^1589120 is an apocalyptic number.

1589120 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 1589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1589120 is an abundant number, since it is smaller than the sum of its proper divisors (2523520).

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

1589120 is a wasteful number, since it uses less digits than its factorization.

1589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 1589120 is about 1260.6030302994. The cubic root of 1589120 is about 116.6949953883.

The spelling of 1589120 in words is "one million, five hundred eighty-nine thousand, one hundred twenty".