670507200 has 672 divisors, whose sum is σ = 2857317120. Its totient is φ = 151142400.

The previous prime is 670507199. The next prime is 670507259. The reversal of 670507200 is 2705076.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8078359 + ... + 8078441.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^670507200 is an apocalyptic number.

670507200 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 670507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428658560).

670507200 is an abundant number, since it is smaller than the sum of its proper divisors (2186809920).

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

670507200 is a wasteful number, since it uses less digits than its factorization.

670507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 670507200 is about 25894.1537803420. The cubic root of 670507200 is about 875.2547611918.

The spelling of 670507200 in words is "six hundred seventy million, five hundred seven thousand, two hundred".