641596000 has 96 divisors (see below), whose sum is σ = 1631054880. Its totient is φ = 247744000.

The previous prime is 641595989. The next prime is 641596049. The reversal of 641596000 is 695146.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113235 + ... + 118765.

It is an arithmetic number, because the mean of its divisors is an integer number (16990155).

Almost surely, 2^641596000 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 641596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815527440).

641596000 is an abundant number, since it is smaller than the sum of its proper divisors (989458880).

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

641596000 is a wasteful number, since it uses less digits than its factorization.

641596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 641596000 is about 25329.7453599518. The cubic root of 641596000 is about 862.4896309052.

The spelling of 641596000 in words is "six hundred forty-one million, five hundred ninety-six thousand".