685216 has 72 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 266112.

The previous prime is 685199. The next prime is 685231. The reversal of 685216 is 612586.

685216 = 43³ + 44³ + ... + 49³.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

685216 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 11 ways as a sum of consecutive naturals, for example, 29781 + ... + 29803.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁶⁸⁵²¹⁶ 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 685216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

685216 is an abundant number, since it is smaller than the sum of its proper divisors (1038464).

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

685216 is a wasteful number, since it uses less digits than its factorization.

685216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 51 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 685216 is about 827.7777479493. Note that the first 4 decimals coincide. The cubic root of 685216 is about 88.1608627906.

The spelling of 685216 in words is "six hundred eighty-five thousand, two hundred sixteen".