670006400 has 144 divisors (see below), whose sum is σ = 1925800290. Its totient is φ = 229662720.

The previous prime is 670006373. The next prime is 670006429. The reversal of 670006400 is 4600076.

It can be written as a sum of positive squares in 3 ways, for example, as 422384704 + 247621696 = 20552^2 + 15736^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 154664 + ... + 158936.

Almost surely, 2^670006400 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 670006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962900145).

670006400 is an abundant number, since it is smaller than the sum of its proper divisors (1255793890).

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

670006400 is a wasteful number, since it uses less digits than its factorization.

670006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 670006400 is about 25884.4818375798. The cubic root of 670006400 is about 875.0367984524.

Adding to 670006400 its reverse (4600076), we get a palindrome (674606476).

The spelling of 670006400 in words is "six hundred seventy million, six thousand, four hundred".