1587320 has 32 divisors (see below), whose sum is σ = 4082400. Its totient is φ = 544128.

The previous prime is 1587301. The next prime is 1587323. The reversal of 1587320 is 237851.

1587320 = T₁₇₇ + T₁₇₈ + ... + T₂₄₆.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1587320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1587323) 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, 2555 + ... + 3114.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

2^1587320 is an apocalyptic number.

1587320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1587320 is an abundant number, since it is smaller than the sum of its proper divisors (2495080).

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

1587320 is a wasteful number, since it uses less digits than its factorization.

1587320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 1587320 is about 1259.8888839894. Note that the first 5 decimals coincide. The cubic root of 1587320 is about 116.6509185093.

The spelling of 1587320 in words is "one million, five hundred eighty-seven thousand, three hundred twenty".