63075000 has 144 divisors (see below), whose sum is σ = 204127560. Its totient is φ = 16240000.

The previous prime is 63074983. The next prime is 63075007. The reversal of 63075000 is 57036.

63075000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63075007) 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 35 ways as a sum of consecutive naturals, for example, 2174986 + ... + 2175014.

Almost surely, 2^63075000 is an apocalyptic number.

63075000 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 63075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102063780).

63075000 is an abundant number, since it is smaller than the sum of its proper divisors (141052560).

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

63075000 is an equidigital number, since it uses as much as digits as its factorization.

63075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 39 counting only the distinct ones).

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

The square root of 63075000 is about 7941.9770838249. The cubic root of 63075000 is about 398.0635572682.

The spelling of 63075000 in words is "sixty-three million, seventy-five thousand".