1587560 has 64 divisors (see below), whose sum is σ = 3991680. Its totient is φ = 564480.

The previous prime is 1587557. The next prime is 1587563. The reversal of 1587560 is 657851.

It is an interprime number because it is at equal distance from previous prime (1587557) and next prime (1587563).

It is not an unprimeable number, because it can be changed into a prime (1587563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22325 + ... + 22395.

It is an arithmetic number, because the mean of its divisors is an integer number (62370).

2^1587560 is an apocalyptic number.

1587560 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 1587560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995840).

1587560 is an abundant number, since it is smaller than the sum of its proper divisors (2404120).

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

1587560 is a wasteful number, since it uses less digits than its factorization.

1587560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1587560 is about 1259.9841268841. The cubic root of 1587560 is about 116.6567973511.

The spelling of 1587560 in words is "one million, five hundred eighty-seven thousand, five hundred sixty".