1687608 has 64 divisors (see below), whose sum is σ = 5056800. Its totient is φ = 518400.

The previous prime is 1687603. The next prime is 1687613. The reversal of 1687608 is 8067861.

It is an interprime number because it is at equal distance from previous prime (1687603) and next prime (1687613).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (1687603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2508 + ... + 3108.

2^1687608 is an apocalyptic number.

1687608 is a gapful number since it is divisible by the number (18) 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 1687608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528400).

1687608 is an abundant number, since it is smaller than the sum of its proper divisors (3369192).

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

1687608 is a wasteful number, since it uses less digits than its factorization.

1687608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1687608 is about 1299.0796742310. The cubic root of 1687608 is about 119.0576186851.

It can be divided in two parts, 168 and 7608, that added together give a 5-th power (7776 = 6⁵).

The spelling of 1687608 in words is "one million, six hundred eighty-seven thousand, six hundred eight".