646912000 has 288 divisors, whose sum is σ = 1947123360. Its totient is φ = 210124800.

The previous prime is 646911983. The next prime is 646912003. The reversal of 646912000 is 219646.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 646912000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646912003) 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, 34047991 + ... + 34048009.

It is an arithmetic number, because the mean of its divisors is an integer number (6760845).

Almost surely, 2^646912000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973561680).

646912000 is an abundant number, since it is smaller than the sum of its proper divisors (1300211360).

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

646912000 is an equidigital number, since it uses as much as digits as its factorization.

646912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 646912000 is about 25434.4648066359. The cubic root of 646912000 is about 864.8651599098.

The spelling of 646912000 in words is "six hundred forty-six million, nine hundred twelve thousand".