687672 has 24 divisors (see below), whose sum is σ = 1862640. Its totient is φ = 229200.

The previous prime is 687647. The next prime is 687679. The reversal of 687672 is 276786.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687679) by changing a digit.

687672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 4704 + ... + 4847.

It is an arithmetic number, because the mean of its divisors is an integer number (77610).

2⁶⁸⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

687672 is an abundant number, since it is smaller than the sum of its proper divisors (1174968).

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

687672 is a wasteful number, since it uses less digits than its factorization.

687672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9563 (or 9556 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 687672 is about 829.2599110050. The cubic root of 687672 is about 88.2660680108.

It can be divided in two parts, 6 and 87672, that added together give a palindrome (87678).

The spelling of 687672 in words is "six hundred eighty-seven thousand, six hundred seventy-two".