641232000 has 384 divisors, whose sum is σ = 2372638320. Its totient is φ = 165888000.

The previous prime is 641231999. The next prime is 641232023. The reversal of 641232000 is 232146.

It is a happy number.

641232000 is a `hidden beast` number, since 641 + 2 + 3 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4981824 + 636250176 = 2232^2 + 25224^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×641232000² = 822356955648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable 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 47 ways as a sum of consecutive naturals, for example, 8783964 + ... + 8784036.

Almost surely, 2^641232000 is an apocalyptic number.

641232000 is a gapful number since it is divisible by the number (60) 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 641232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186319160).

641232000 is an abundant number, since it is smaller than the sum of its proper divisors (1731406320).

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

641232000 is a wasteful number, since it uses less digits than its factorization.

641232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 641232000 is about 25322.5591123804. The cubic root of 641232000 is about 862.3264931387.

Adding to 641232000 its reverse (232146), we get a palindrome (641464146).

The spelling of 641232000 in words is "six hundred forty-one million, two hundred thirty-two thousand".