646908000 has 384 divisors, whose sum is σ = 2294562816. Its totient is φ = 158976000.

The previous prime is 646907993. The next prime is 646908007. The reversal of 646908000 is 809646.

It is an interprime number because it is at equal distance from previous prime (646907993) and next prime (646908007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646908007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13763977 + ... + 13764023.

It is an arithmetic number, because the mean of its divisors is an integer number (5975424).

Almost surely, 2^646908000 is an apocalyptic number.

646908000 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 646908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147281408).

646908000 is an abundant number, since it is smaller than the sum of its proper divisors (1647654816).

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

646908000 is a wasteful number, since it uses less digits than its factorization.

646908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 646908000 is about 25434.3861730532. The cubic root of 646908000 is about 864.8633773553.

The spelling of 646908000 in words is "six hundred forty-six million, nine hundred eight thousand".