63705000 has 160 divisors (see below), whose sum is σ = 206933760. Its totient is φ = 16320000.

The previous prime is 63704999. The next prime is 63705013. The reversal of 63705000 is 50736.

63705000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 464932 + ... + 465068.

It is an arithmetic number, because the mean of its divisors is an integer number (1293336).

Almost surely, 2^63705000 is an apocalyptic number.

63705000 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 63705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103466880).

63705000 is an abundant number, since it is smaller than the sum of its proper divisors (143228760).

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

63705000 is a wasteful number, since it uses less digits than its factorization.

63705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 63705000 is about 7981.5412045544. The cubic root of 63705000 is about 399.3844699594.

Adding to 63705000 its reverse (50736), we get a palindrome (63755736).

The spelling of 63705000 in words is "sixty-three million, seven hundred five thousand".