641000 has 32 divisors (see below), whose sum is σ = 1502280. Its totient is φ = 256000.

The previous prime is 640993. The next prime is 641051. The reversal of 641000 is 146.

It can be written as a sum of positive squares in 4 ways, for example, as 334084 + 306916 = 578^2 + 554^2 .

It is a sliding number, since 641000 = 16000 + 625000 and 1/16000 + 1/625000 = 0.0000641000.

It is a nialpdrome in base 10.

It is an unprimeable number.

641000 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 680 + ... + 1320.

2⁶⁴¹⁰⁰⁰ 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 641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751140).

641000 is an abundant number, since it is smaller than the sum of its proper divisors (861280).

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

641000 is a wasteful number, since it uses less digits than its factorization.

641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 641000 is about 800.6247560499. The cubic root of 641000 is about 86.2222483005. Note that the first 4 decimals are identical.

Adding to 641000 its reverse (146), we get a palindrome (641146).

The spelling of 641000 in words is "six hundred forty-one thousand".