687400 has 48 divisors (see below), whose sum is σ = 1830240. Its totient is φ = 235200.

The previous prime is 687397. The next prime is 687403. The reversal of 687400 is 4786.

687400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (687397) and next prime (687403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (687403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1155 + ... + 1645.

It is an arithmetic number, because the mean of its divisors is an integer number (38130).

2⁶⁸⁷⁴⁰⁰ 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 687400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915120).

687400 is an abundant number, since it is smaller than the sum of its proper divisors (1142840).

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

687400 is a wasteful number, since it uses less digits than its factorization.

687400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 687400 is about 829.0958931270. The cubic root of 687400 is about 88.2544289656.

The spelling of 687400 in words is "six hundred eighty-seven thousand, four hundred".