1687364 has 18 divisors (see below), whose sum is σ = 3435390. Its totient is φ = 723072.

The previous prime is 1687339. The next prime is 1687373. The reversal of 1687364 is 4637861.

Added to its reverse (4637861) it gives a square (6325225 = 2515²).

It can be written as a sum of positive squares in only one way, i.e., 1254400 + 432964 = 1120^2 + 658^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4109 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (190855).

2^1687364 is an apocalyptic number.

1687364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1687364 is an abundant number, since it is smaller than the sum of its proper divisors (1748026).

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

1687364 is a wasteful number, since it uses less digits than its factorization.

1687364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8618 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 1687364 is about 1298.9857581975. The cubic root of 1687364 is about 119.0518804925.

Adding to 1687364 its reverse (4637861), we get a square (6325225 = 2515²).

The spelling of 1687364 in words is "one million, six hundred eighty-seven thousand, three hundred sixty-four".