1587840 has 64 divisors (see below), whose sum is σ = 5067360. Its totient is φ = 422912.

The previous prime is 1587829. The next prime is 1587841. The reversal of 1587840 is 487851.

1587840 = T₄₁₁ + T₄₁₂ + ... + T₄₂₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1587841) 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 7 ways as a sum of consecutive naturals, for example, 1507 + ... + 2333.

2^1587840 is an apocalyptic number.

1587840 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 1587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533680).

1587840 is an abundant number, since it is smaller than the sum of its proper divisors (3479520).

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

1587840 is an equidigital number, since it uses as much as digits as its factorization.

1587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 1587840 is about 1260.0952344962. The cubic root of 1587840 is about 116.6636552511.

The spelling of 1587840 in words is "one million, five hundred eighty-seven thousand, eight hundred forty".