63282240 has 336 divisors, whose sum is σ = 258031488. Its totient is φ = 13934592.

The previous prime is 63282209. The next prime is 63282277. The reversal of 63282240 is 4228236.

63282240 is a `hidden beast` number, since 632 + 8 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 866844 + ... + 866916.

Almost surely, 2^63282240 is an apocalyptic number.

63282240 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 63282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129015744).

63282240 is an abundant number, since it is smaller than the sum of its proper divisors (194749248).

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

63282240 is a wasteful number, since it uses less digits than its factorization.

63282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 63282240 is about 7955.0135135020. The cubic root of 63282240 is about 398.4990415205.

The spelling of 63282240 in words is "sixty-three million, two hundred eighty-two thousand, two hundred forty".