670080 has 64 divisors (see below), whose sum is σ = 2142000. Its totient is φ = 178176.

The previous prime is 670051. The next prime is 670097. The reversal of 670080 is 80076.

It is a tau number, because it is divible by the number of its divisors (64).

It is a cake number, because a cake can be divided into 670080 parts by 159 planar cuts.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1746 + ... + 2094.

2⁶⁷⁰⁰⁸⁰ is an apocalyptic number.

670080 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 670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071000).

670080 is an abundant number, since it is smaller than the sum of its proper divisors (1471920).

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

670080 is a wasteful number, since it uses less digits than its factorization.

670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 670080 is about 818.5841435063. The cubic root of 670080 is about 87.5068838122.

The spelling of 670080 in words is "six hundred seventy thousand, eighty".