687752 has 32 divisors (see below), whose sum is σ = 1474200. Its totient is φ = 297984.

The previous prime is 687749. The next prime is 687767. The reversal of 687752 is 257786.

687752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 481636 + 206116 = 694^2 + 454^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1574 + ... + 1962.

2⁶⁸⁷⁷⁵² 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 687752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737100).

687752 is an abundant number, since it is smaller than the sum of its proper divisors (786448).

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

687752 is a wasteful number, since it uses less digits than its factorization.

687752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 687752 is about 829.3081453838. The cubic root of 687752 is about 88.2694906753.

It can be divided in two parts, 68775 and 2, that multiplied together give a triangular number (137550 = T₅₂₄).

The spelling of 687752 in words is "six hundred eighty-seven thousand, seven hundred fifty-two".