681960 has 32 divisors (see below), whose sum is σ = 2046240. Its totient is φ = 181824.

The previous prime is 681949. The next prime is 681971. The reversal of 681960 is 69186.

681960 = T₁₆ + T₁₇ + ... + T₁₅₉.

It is an interprime number because it is at equal distance from previous prime (681949) and next prime (681971).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

681960 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, 2722 + ... + 2961.

It is an arithmetic number, because the mean of its divisors is an integer number (63945).

2⁶⁸¹⁹⁶⁰ is an apocalyptic number.

681960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

681960 is an abundant number, since it is smaller than the sum of its proper divisors (1364280).

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

681960 is a wasteful number, since it uses less digits than its factorization.

681960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 681960 is about 825.8086945534. The cubic root of 681960 is about 88.0210004976.

The spelling of 681960 in words is "six hundred eighty-one thousand, nine hundred sixty".