680448 has 40 divisors (see below), whose sum is σ = 1816848. Its totient is φ = 226304.

The previous prime is 680443. The next prime is 680453. The reversal of 680448 is 844086.

It is an interprime number because it is at equal distance from previous prime (680443) and next prime (680453).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (680441) by changing a digit.

680448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1315 + ... + 1757.

2⁶⁸⁰⁴⁴⁸ 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 680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908424).

680448 is an abundant number, since it is smaller than the sum of its proper divisors (1136400).

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

680448 is an equidigital number, since it uses as much as digits as its factorization.

680448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 680448 is about 824.8927202976. The cubic root of 680448 is about 87.9559007694.

It can be divided in two parts, 680 and 448, that added together give a triangular number (1128 = T₄₇).

The spelling of 680448 in words is "six hundred eighty thousand, four hundred forty-eight".