1587960 has 96 divisors (see below), whose sum is σ = 5644080. Its totient is φ = 384000.

The previous prime is 1587959. The next prime is 1587961. The reversal of 1587960 is 697851.

It is an interprime number because it is at equal distance from previous prime (1587959) and next prime (1587961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3760 + ... + 4160.

2^1587960 is an apocalyptic number.

1587960 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 1587960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822040).

1587960 is an abundant number, since it is smaller than the sum of its proper divisors (4056120).

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

1587960 is a wasteful number, since it uses less digits than its factorization.

1587960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1587960 is about 1260.1428490453. The cubic root of 1587960 is about 116.6665941043. Note that the first 3 decimals are identical.

It can be divided in two parts, 158 and 7960, that added together give a palindrome (8118).

The spelling of 1587960 in words is "one million, five hundred eighty-seven thousand, nine hundred sixty".