670387200 has 528 divisors, whose sum is σ = 2680423680. Its totient is φ = 144506880.

The previous prime is 670387199. The next prime is 670387213. The reversal of 670387200 is 2783076.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15590379 + ... + 15590421.

It is an arithmetic number, because the mean of its divisors is an integer number (5076560).

Almost surely, 2^670387200 is an apocalyptic number.

670387200 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 670387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340211840).

670387200 is an abundant number, since it is smaller than the sum of its proper divisors (2010036480).

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

670387200 is a wasteful number, since it uses less digits than its factorization.

670387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 670387200 is about 25891.8365513148. The cubic root of 670387200 is about 875.2025435881.

The spelling of 670387200 in words is "six hundred seventy million, three hundred eighty-seven thousand, two hundred".