1559120 has 20 divisors (see below), whose sum is σ = 3625140. Its totient is φ = 623616.

The previous prime is 1559119. The next prime is 1559123. The reversal of 1559120 is 219551.

It can be written as a sum of positive squares in 2 ways, for example, as 222784 + 1336336 = 472^2 + 1156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1559123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9665 + ... + 9824.

It is an arithmetic number, because the mean of its divisors is an integer number (181257).

2^1559120 is an apocalyptic number.

1559120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1559120 is an abundant number, since it is smaller than the sum of its proper divisors (2066020).

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

1559120 is a wasteful number, since it uses less digits than its factorization.

1559120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19502 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 1559120 is about 1248.6472680465. The cubic root of 1559120 is about 115.9559880596.

The spelling of 1559120 in words is "one million, five hundred fifty-nine thousand, one hundred twenty".