670680 has 112 divisors (see below), whose sum is σ = 2360880. Its totient is φ = 171072.

The previous prime is 670673. The next prime is 670693. The reversal of 670680 is 86076.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

670680 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 27 ways as a sum of consecutive naturals, for example, 29149 + ... + 29171.

2⁶⁷⁰⁶⁸⁰ is an apocalyptic number.

670680 is a gapful number since it is divisible by the number (60) 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 670680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180440).

670680 is an abundant number, since it is smaller than the sum of its proper divisors (1690200).

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

670680 is a wasteful number, since it uses less digits than its factorization.

670680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 670680 is about 818.9505479576. The cubic root of 670680 is about 87.5329943597.

It can be divided in two parts, 6706 and 80, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 670680 in words is "six hundred seventy thousand, six hundred eighty".