687488 has 32 divisors (see below), whose sum is σ = 1413720. Its totient is φ = 332800.

The previous prime is 687481. The next prime is 687499. The reversal of 687488 is 884786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687488.

It is not an unprimeable number, because it can be changed into a prime (687481) by changing a digit.

687488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5183 + ... + 5313.

2⁶⁸⁷⁴⁸⁸ 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 687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706860).

687488 is an abundant number, since it is smaller than the sum of its proper divisors (726232).

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

687488 is a wasteful number, since it uses less digits than its factorization.

687488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 687488 is about 829.1489612850. The cubic root of 687488 is about 88.2581948750.

The spelling of 687488 in words is "six hundred eighty-seven thousand, four hundred eighty-eight".