670824000 has 672 divisors, whose sum is σ = 3016495872. Its totient is φ = 139392000.

The previous prime is 670823999. The next prime is 670824019. The reversal of 670824000 is 428076.

It is a tau number, because it is divible by the number of its divisors (672).

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, 60983995 + ... + 60984005.

Almost surely, 2^670824000 is an apocalyptic number.

670824000 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 670824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508247936).

670824000 is an abundant number, since it is smaller than the sum of its proper divisors (2345671872).

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

670824000 is a wasteful number, since it uses less digits than its factorization.

670824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 670824000 is about 25900.2702688601. The cubic root of 670824000 is about 875.3925857372.

The spelling of 670824000 in words is "six hundred seventy million, eight hundred twenty-four thousand".