670800060 has 288 divisors, whose sum is σ = 2465648640. Its totient is φ = 144308736.

The previous prime is 670800049. The next prime is 670800071. The reversal of 670800060 is 60008076.

It is an interprime number because it is at equal distance from previous prime (670800049) and next prime (670800071).

It is a super-3 number, since 3×670800060³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 670799997 and 670800033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2289274 + ... + 2289566.

It is an arithmetic number, because the mean of its divisors is an integer number (8561280).

Almost surely, 2^670800060 is an apocalyptic number.

670800060 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 670800060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

670800060 is an abundant number, since it is smaller than the sum of its proper divisors (1794848580).

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

670800060 is a wasteful number, since it uses less digits than its factorization.

670800060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

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

The square root of 670800060 is about 25899.8081073972. The cubic root of 670800060 is about 875.3821721027.

The spelling of 670800060 in words is "six hundred seventy million, eight hundred thousand, sixty".