1506580 has 12 divisors (see below), whose sum is σ = 3163860. Its totient is φ = 602624.

The previous prime is 1506563. The next prime is 1506587. The reversal of 1506580 is 856051.

It can be written as a sum of positive squares in 2 ways, for example, as 327184 + 1179396 = 572^2 + 1086^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506587) 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, 37645 + ... + 37684.

It is an arithmetic number, because the mean of its divisors is an integer number (263655).

2^1506580 is an apocalyptic number.

1506580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1506580 is an abundant number, since it is smaller than the sum of its proper divisors (1657280).

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

1506580 is a wasteful number, since it uses less digits than its factorization.

1506580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75338 (or 75336 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1506580 is about 1227.4282056397. The cubic root of 1506580 is about 114.6385627598.

The spelling of 1506580 in words is "one million, five hundred six thousand, five hundred eighty".