1641064000 has 56 divisors (see below), whose sum is σ = 4064114808. Its totient is φ = 656422400.

The previous prime is 1641063989. The next prime is 1641064003. The reversal of 1641064000 is 4601461.

It can be written as a sum of positive squares in 4 ways, for example, as 164660224 + 1476403776 = 12832^2 + 38424^2 .

It is not an unprimeable number, because it can be changed into a prime (1641064003) by changing a digit.

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, 94567 + ... + 110566.

Almost surely, 2^1641064000 is an apocalyptic number.

1641064000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1641064000 is an abundant number, since it is smaller than the sum of its proper divisors (2423050808).

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

1641064000 is an equidigital number, since it uses as much as digits as its factorization.

1641064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205160 (or 205140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1641064000 is about 40510.0481362341. The cubic root of 1641064000 is about 1179.5286827850.

Adding to 1641064000 its reverse (4601461), we get a palindrome (1645665461).

The spelling of 1641064000 in words is "one billion, six hundred forty-one million, sixty-four thousand".