680064 has 128 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 168960.

The previous prime is 680059. The next prime is 680077. The reversal of 680064 is 460086.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

680064 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 15 ways as a sum of consecutive naturals, for example, 29557 + ... + 29579.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2⁶⁸⁰⁰⁶⁴ is an apocalyptic number.

680064 is a gapful number since it is divisible by the number (64) 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 680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

680064 is an abundant number, since it is smaller than the sum of its proper divisors (1670016).

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

680064 is a wasteful number, since it uses less digits than its factorization.

680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 680064 is about 824.6599299105. The cubic root of 680064 is about 87.9393521517.

The spelling of 680064 in words is "six hundred eighty thousand, sixty-four".