680952 has 32 divisors (see below), whose sum is σ = 1803600. Its totient is φ = 213504.

The previous prime is 680929. The next prime is 680959. The reversal of 680952 is 259086.

It is an Ulam number.

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 680952.

It is not an unprimeable number, because it can be changed into a prime (680959) by changing a digit.

680952 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 1242.

2⁶⁸⁰⁹⁵² is an apocalyptic number.

It is an amenable number.

680952 is an abundant number, since it is smaller than the sum of its proper divisors (1122648).

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

680952 is a wasteful number, since it uses less digits than its factorization.

680952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 680952 is about 825.1981580202. The cubic root of 680952 is about 87.9776113843.

The spelling of 680952 in words is "six hundred eighty thousand, nine hundred fifty-two".