1506080 has 24 divisors (see below), whose sum is σ = 3558492. Its totient is φ = 602368.

The previous prime is 1506079. The next prime is 1506091. The reversal of 1506080 is 806051.

It can be written as a sum of positive squares in 2 ways, for example, as 1373584 + 132496 = 1172^2 + 364^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4547 + ... + 4866.

2^1506080 is an apocalyptic number.

1506080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506080 is an abundant number, since it is smaller than the sum of its proper divisors (2052412).

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

1506080 is an equidigital number, since it uses as much as digits as its factorization.

1506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1506080 is about 1227.2245108374. The cubic root of 1506080 is about 114.6258793701.

The spelling of 1506080 in words is "one million, five hundred six thousand, eighty".