1587920 has 40 divisors (see below), whose sum is σ = 3856896. Its totient is φ = 606848.

The previous prime is 1587917. The next prime is 1587923. The reversal of 1587920 is 297851.

It is an interprime number because it is at equal distance from previous prime (1587917) and next prime (1587923).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1409 + ... + 2271.

2^1587920 is an apocalyptic number.

1587920 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 1587920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928448).

1587920 is an abundant number, since it is smaller than the sum of its proper divisors (2268976).

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

1587920 is a wasteful number, since it uses less digits than its factorization.

1587920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 1587920 is about 1260.1269777288. The cubic root of 1587920 is about 116.6656145030.

The spelling of 1587920 in words is "one million, five hundred eighty-seven thousand, nine hundred twenty".