1587664 has 40 divisors (see below), whose sum is σ = 3515400. Its totient is φ = 688128.

The previous prime is 1587653. The next prime is 1587673. The reversal of 1587664 is 4667851.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 1345600 = 492^2 + 1160^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3312 + ... + 3760.

It is an arithmetic number, because the mean of its divisors is an integer number (87885).

2^1587664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1587664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757700).

1587664 is an abundant number, since it is smaller than the sum of its proper divisors (1927736).

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

1587664 is a wasteful number, since it uses less digits than its factorization.

1587664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 1587664 is about 1260.0253965695. The cubic root of 1587664 is about 116.6593446652.

It can be divided in two parts, 15876 and 64, that multiplied together give a square (1016064 = 1008²).

The spelling of 1587664 in words is "one million, five hundred eighty-seven thousand, six hundred sixty-four".