1518080 has 40 divisors (see below), whose sum is σ = 3645972. Its totient is φ = 606208.

The previous prime is 1518071. The next prime is 1518089. The reversal of 1518080 is 808151.

It is an interprime number because it is at equal distance from previous prime (1518071) and next prime (1518089).

It can be written as a sum of positive squares in 2 ways, for example, as 1517824 + 256 = 1232^2 + 16^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1518089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2264 + ... + 2856.

2^1518080 is an apocalyptic number.

1518080 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 1518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822986).

1518080 is an abundant number, since it is smaller than the sum of its proper divisors (2127892).

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

1518080 is an frugal number, since it uses more digits than its factorization.

1518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 1518080 is about 1232.1038917234. The cubic root of 1518080 is about 114.9295094158.

The spelling of 1518080 in words is "one million, five hundred eighteen thousand, eighty".