63284820 has 96 divisors (see below), whose sum is σ = 191009280. Its totient is φ = 15603840.

The previous prime is 63284813. The next prime is 63284827. The reversal of 63284820 is 2848236.

63284820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63284813) and next prime (63284827).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63284827) 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 31 ways as a sum of consecutive naturals, for example, 48375 + ... + 49665.

It is an arithmetic number, because the mean of its divisors is an integer number (1989680).

Almost surely, 2^63284820 is an apocalyptic number.

63284820 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 63284820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95504640).

63284820 is an abundant number, since it is smaller than the sum of its proper divisors (127724460).

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

63284820 is a wasteful number, since it uses less digits than its factorization.

63284820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 63284820 is about 7955.1756737359. The cubic root of 63284820 is about 398.5044570134.

The spelling of 63284820 in words is "sixty-three million, two hundred eighty-four thousand, eight hundred twenty".