671616000 has 528 divisors, whose sum is σ = 2690052768. Its totient is φ = 159744000.

The previous prime is 671615993. The next prime is 671616019. The reversal of 671616000 is 616176.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671974 + ... + 12672026.

Almost surely, 2^671616000 is an apocalyptic number.

671616000 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 671616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345026384).

671616000 is an abundant number, since it is smaller than the sum of its proper divisors (2018436768).

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

671616000 is a wasteful number, since it uses less digits than its factorization.

671616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 671616000 is about 25915.5551744507. Note that the first 3 decimals coincide. The cubic root of 671616000 is about 875.7369573643.

The spelling of 671616000 in words is "six hundred seventy-one million, six hundred sixteen thousand".