670459200 has 168 divisors, whose sum is σ = 2295680448. Its totient is φ = 170987520.

The previous prime is 670459159. The next prime is 670459201. The reversal of 670459200 is 2954076.

670459200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670459201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107364 + ... + 113436.

Almost surely, 2^670459200 is an apocalyptic number.

670459200 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 670459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147840224).

670459200 is an abundant number, since it is smaller than the sum of its proper divisors (1625221248).

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

670459200 is a wasteful number, since it uses less digits than its factorization.

670459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 670459200 is about 25893.2269136158. The cubic root of 670459200 is about 875.2338748980.

It can be divided in two parts, 67045 and 9200, that added together give a triangular number (76245 = T₃₉₀).

The spelling of 670459200 in words is "six hundred seventy million, four hundred fifty-nine thousand, two hundred".