667980 has 48 divisors (see below), whose sum is σ = 2079840. Its totient is φ = 177984.

The previous prime is 667963. The next prime is 667987. The reversal of 667980 is 89766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (667987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79 + ... + 1158.

It is an arithmetic number, because the mean of its divisors is an integer number (43330).

2⁶⁶⁷⁹⁸⁰ is an apocalyptic number.

667980 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 667980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039920).

667980 is an abundant number, since it is smaller than the sum of its proper divisors (1411860).

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

667980 is a wasteful number, since it uses less digits than its factorization.

667980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 667980 is about 817.3004343569. The cubic root of 667980 is about 87.4153739622.

The spelling of 667980 in words is "six hundred sixty-seven thousand, nine hundred eighty".