687456 has 144 divisors (see below), whose sum is σ = 2515968. Its totient is φ = 172800.

The previous prime is 687443. The next prime is 687457. The reversal of 687456 is 654786.

It is a happy number.

687456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 687456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687457) by changing a digit.

687456 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 23 ways as a sum of consecutive naturals, for example, 22161 + ... + 22191.

It is an arithmetic number, because the mean of its divisors is an integer number (17472).

2⁶⁸⁷⁴⁵⁶ is an apocalyptic number.

687456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984).

687456 is an abundant number, since it is smaller than the sum of its proper divisors (1828512).

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

687456 is a wasteful number, since it uses less digits than its factorization.

687456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 687456 is about 829.1296641660. The cubic root of 687456 is about 88.2568254905.

The spelling of 687456 in words is "six hundred eighty-seven thousand, four hundred fifty-six".