646006144 has 64 divisors (see below), whose sum is σ = 1487527200. Its totient is φ = 273715200.

The previous prime is 646006139. The next prime is 646006169. The reversal of 646006144 is 441600646.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75694 + ... + 83794.

Almost surely, 2^646006144 is an apocalyptic number.

646006144 is a gapful number since it is divisible by the number (64) 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 646006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743763600).

646006144 is an abundant number, since it is smaller than the sum of its proper divisors (841521056).

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

646006144 is an equidigital number, since it uses as much as digits as its factorization.

646006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8211 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 646006144 is about 25416.6509202137. The cubic root of 646006144 is about 864.4612877406.

The spelling of 646006144 in words is "six hundred forty-six million, six thousand, one hundred forty-four".