680040 has 48 divisors (see below), whose sum is σ = 2211300. Its totient is φ = 181248.

The previous prime is 680039. The next prime is 680059. The reversal of 680040 is 40086.

680040 = T₂₅ + T₂₆ + ... + T₁₅₉.

It can be written as a sum of positive squares in 2 ways, for example, as 675684 + 4356 = 822^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 679995 and 680022.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 585 + ... + 1304.

2⁶⁸⁰⁰⁴⁰ is an apocalyptic number.

680040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680040 is an abundant number, since it is smaller than the sum of its proper divisors (1531260).

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

680040 is a wasteful number, since it uses less digits than its factorization.

680040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 680040 is about 824.6453783294. The cubic root of 680040 is about 87.9383176563.

The spelling of 680040 in words is "six hundred eighty thousand, forty".