641933000 has 64 divisors (see below), whose sum is σ = 1507025520. Its totient is φ = 255936000.

The previous prime is 641932981. The next prime is 641933041. The reversal of 641933000 is 339146.

It can be written as a sum of positive squares in 8 ways, for example, as 65836996 + 576096004 = 8114^2 + 24002^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372140 + ... + 373860.

Almost surely, 2^641933000 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 641933000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753512760).

641933000 is an abundant number, since it is smaller than the sum of its proper divisors (865092520).

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

641933000 is a wasteful number, since it uses less digits than its factorization.

641933000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 641933000 is about 25336.3967446044. The cubic root of 641933000 is about 862.6406127955.

The spelling of 641933000 in words is "six hundred forty-one million, nine hundred thirty-three thousand".