686448 has 80 divisors (see below), whose sum is σ = 2261760. Its totient is φ = 195264.

The previous prime is 686437. The next prime is 686449. The reversal of 686448 is 844686.

686448 is a `hidden beast` number, since 6 + 8 + 644 + 8 = 666.

686448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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 686448.

It is not an unprimeable number, because it can be changed into a prime (686449) by changing a digit.

686448 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 15 ways as a sum of consecutive naturals, for example, 2911 + ... + 3137.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2⁶⁸⁶⁴⁴⁸ 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 686448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130880).

686448 is an abundant number, since it is smaller than the sum of its proper divisors (1575312).

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

686448 is a wasteful number, since it uses less digits than its factorization.

686448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 686448 is about 828.5215748549. The cubic root of 686448 is about 88.2136681118.

The spelling of 686448 in words is "six hundred eighty-six thousand, four hundred forty-eight".