645048000 has 504 divisors, whose sum is σ = 2530230144. Its totient is φ = 156672000.

The previous prime is 645047999. The next prime is 645048007. The reversal of 645048000 is 840546.

It is not an unprimeable number, because it can be changed into a prime (645048007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 20807985 + ... + 20808015.

Almost surely, 2^645048000 is an apocalyptic number.

645048000 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 645048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265115072).

645048000 is an abundant number, since it is smaller than the sum of its proper divisors (1885182144).

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

645048000 is a wasteful number, since it uses less digits than its factorization.

645048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 645048000 is about 25397.7951798970. The cubic root of 645048000 is about 864.0336921018.

Adding to 645048000 its reverse (840546), we get a palindrome (645888546).

The spelling of 645048000 in words is "six hundred forty-five million, forty-eight thousand".