63945000 has 360 divisors, whose sum is σ = 260424450. Its totient is φ = 14112000.

The previous prime is 63944981. The next prime is 63945017. The reversal of 63945000 is 54936.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 933156 + 63011844 = 966^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2204986 + ... + 2205014.

Almost surely, 2^63945000 is an apocalyptic number.

63945000 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 63945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130212225).

63945000 is an abundant number, since it is smaller than the sum of its proper divisors (196479450).

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

63945000 is a wasteful number, since it uses less digits than its factorization.

63945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 63945000 is about 7996.5617611571. The cubic root of 63945000 is about 399.8853838276.

Adding to 63945000 its reverse (54936), we get a palindrome (63999936).

The spelling of 63945000 in words is "sixty-three million, nine hundred forty-five thousand".