670728240 has 480 divisors, whose sum is σ = 2876065920. Its totient is φ = 136249344.

The previous prime is 670728221. The next prime is 670728241. The reversal of 670728240 is 42827076.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 670728195 and 670728204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670728241) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1899904 + ... + 1900256.

It is an arithmetic number, because the mean of its divisors is an integer number (5991804).

Almost surely, 2^670728240 is an apocalyptic number.

670728240 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 670728240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438032960).

670728240 is an abundant number, since it is smaller than the sum of its proper divisors (2205337680).

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

670728240 is a wasteful number, since it uses less digits than its factorization.

670728240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 670728240 is about 25898.4215735245. The cubic root of 670728240 is about 875.3509297126.

The spelling of 670728240 in words is "six hundred seventy million, seven hundred twenty-eight thousand, two hundred forty".