646628000 has 96 divisors (see below), whose sum is σ = 1601570880. Its totient is φ = 256569600.

The previous prime is 646627981. The next prime is 646628011. The reversal of 646628000 is 826646.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555419 + ... + 556581.

It is an arithmetic number, because the mean of its divisors is an integer number (16683030).

Almost surely, 2^646628000 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 646628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800785440).

646628000 is an abundant number, since it is smaller than the sum of its proper divisors (954942880).

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

646628000 is a wasteful number, since it uses less digits than its factorization.

646628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 646628000 is about 25428.8812180167. The cubic root of 646628000 is about 864.7385802732.

The spelling of 646628000 in words is "six hundred forty-six million, six hundred twenty-eight thousand".