646144000 has 112 divisors (see below), whose sum is σ = 1615232736. Its totient is φ = 258048000.

The previous prime is 646143989. The next prime is 646144027. The reversal of 646144000 is 441646.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1023685 + ... + 1024315.

Almost surely, 2^646144000 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 646144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807616368).

646144000 is an abundant number, since it is smaller than the sum of its proper divisors (969088736).

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

646144000 is an frugal number, since it uses more digits than its factorization.

646144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 646144000 is about 25419.3626985414. The cubic root of 646144000 is about 864.5227746167.

Adding to 646144000 its reverse (441646), we get a palindrome (646585646).

The spelling of 646144000 in words is "six hundred forty-six million, one hundred forty-four thousand".