63585000 has 200 divisors, whose sum is σ = 223967370. Its totient is φ = 16848000.

The previous prime is 63584959. The next prime is 63585013. The reversal of 63585000 is 58536.

It can be written as a sum of positive squares in 5 ways, for example, as 324 + 63584676 = 18^2 + 7974^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 404922 + ... + 405078.

Almost surely, 2^63585000 is an apocalyptic number.

63585000 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 63585000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111983685).

63585000 is an abundant number, since it is smaller than the sum of its proper divisors (160382370).

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

63585000 is a wasteful number, since it uses less digits than its factorization.

63585000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 63585000 is about 7974.0203160012. The cubic root of 63585000 is about 399.1335411445.

The spelling of 63585000 in words is "sixty-three million, five hundred eighty-five thousand".