63284000 has 96 divisors (see below), whose sum is σ = 167587056. Its totient is φ = 23347200.

The previous prime is 63283991. The next prime is 63284009. The reversal of 63284000 is 48236.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63283991) and next prime (63284009).

It can be written as a sum of positive squares in 8 ways, for example, as 620944 + 62663056 = 788^2 + 7916^2 .

It is not an unprimeable number, because it can be changed into a prime (63284009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51392 + ... + 52608.

Almost surely, 2^63284000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83793528).

63284000 is an abundant number, since it is smaller than the sum of its proper divisors (104303056).

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

63284000 is a wasteful number, since it uses less digits than its factorization.

63284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 63284000 is about 7955.1241347951. The cubic root of 63284000 is about 398.5027358262.

The spelling of 63284000 in words is "sixty-three million, two hundred eighty-four thousand".