670133200 has 240 divisors, whose sum is σ = 1926305280. Its totient is φ = 221952000.

The previous prime is 670133197. The next prime is 670133207. The reversal of 670133200 is 2331076.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670133207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21617185 + ... + 21617215.

It is an arithmetic number, because the mean of its divisors is an integer number (8026272).

Almost surely, 2^670133200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963152640).

670133200 is an abundant number, since it is smaller than the sum of its proper divisors (1256172080).

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

670133200 is a wasteful number, since it uses less digits than its factorization.

670133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 670133200 is about 25886.9310656941. The cubic root of 670133200 is about 875.0919957696.

Adding to 670133200 its reverse (2331076), we get a palindrome (672464276).

The spelling of 670133200 in words is "six hundred seventy million, one hundred thirty-three thousand, two hundred".