667380 has 72 divisors (see below), whose sum is σ = 2183328. Its totient is φ = 151872.

The previous prime is 667379. The next prime is 667417. The reversal of 667380 is 83766.

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

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 2827 + ... + 3053.

It is an arithmetic number, because the mean of its divisors is an integer number (30324).

2⁶⁶⁷³⁸⁰ is an apocalyptic number.

667380 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 667380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091664).

667380 is an abundant number, since it is smaller than the sum of its proper divisors (1515948).

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

667380 is a wasteful number, since it uses less digits than its factorization.

667380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 667380 is about 816.9332898101. The cubic root of 667380 is about 87.3891930706.

The spelling of 667380 in words is "six hundred sixty-seven thousand, three hundred eighty".