667210080 has 192 divisors, whose sum is σ = 2231712000. Its totient is φ = 167086080.

The previous prime is 667210079. The next prime is 667210081. The reversal of 667210080 is 80012766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (667210079) and next prime (667210081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667210081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358635 + ... + 1359125.

It is an arithmetic number, because the mean of its divisors is an integer number (11623500).

Almost surely, 2^667210080 is an apocalyptic number.

667210080 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 667210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115856000).

667210080 is an abundant number, since it is smaller than the sum of its proper divisors (1564501920).

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

667210080 is a wasteful number, since it uses less digits than its factorization.

667210080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 667210080 is about 25830.4099851319. The cubic root of 667210080 is about 873.8177579100.

The spelling of 667210080 in words is "six hundred sixty-seven million, two hundred ten thousand, eighty".