1687960 has 32 divisors (see below), whose sum is σ = 3999600. Its totient is φ = 639360.

The previous prime is 1687949. The next prime is 1687963. The reversal of 1687960 is 697861.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687963) 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, 351 + ... + 1870.

2^1687960 is an apocalyptic number.

1687960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1687960 is an abundant number, since it is smaller than the sum of its proper divisors (2311640).

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

1687960 is a wasteful number, since it uses less digits than its factorization.

1687960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1687960 is about 1299.2151476949. The cubic root of 1687960 is about 119.0658957590.

Subtracting from 1687960 its reverse (697861), we obtain a palindrome (990099).

It can be divided in two parts, 168 and 7960, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 1687960 in words is "one million, six hundred eighty-seven thousand, nine hundred sixty".