687528 has 40 divisors (see below), whose sum is σ = 1927530. Its totient is φ = 228960.

The previous prime is 687523. The next prime is 687541. The reversal of 687528 is 825786.

It can be written as a sum of positive squares in only one way, i.e., 544644 + 142884 = 738^2 + 378^2 .

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

It is a d-powerful number, because it can be written as 6⁷ + 8² + 5⁸ + 7⁵ + 2⁵ + 8² .

It is a junction number, because it is equal to n+sod(n) for n = 687492 and 687501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687528.

It is not an unprimeable number, because it can be changed into a prime (687521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 118 + ... + 1178.

2⁶⁸⁷⁵²⁸ 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 687528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963765).

687528 is an abundant number, since it is smaller than the sum of its proper divisors (1240002).

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

687528 is a wasteful number, since it uses less digits than its factorization.

687528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 687528 is about 829.1730820522. The cubic root of 687528 is about 88.2599065457.

It can be divided in two parts, 6875 and 28, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 687528 in words is "six hundred eighty-seven thousand, five hundred twenty-eight".