680736 has 48 divisors (see below), whose sum is σ = 2044224. Its totient is φ = 194304.

The previous prime is 680707. The next prime is 680749. The reversal of 680736 is 637086.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is an unprimeable number.

680736 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 1178.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁶⁸⁰⁷³⁶ 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 680736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022112).

680736 is an abundant number, since it is smaller than the sum of its proper divisors (1363488).

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

680736 is a wasteful number, since it uses less digits than its factorization.

680736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 680736 is about 825.0672699847. The cubic root of 680736 is about 87.9683081473.

It can be divided in two parts, 6 and 80736, that multiplied together give a square (484416 = 696²).

The spelling of 680736 in words is "six hundred eighty thousand, seven hundred thirty-six".