63642240 has 256 divisors, whose sum is σ = 235008000. Its totient is φ = 16257024.

The previous prime is 63642239. The next prime is 63642247. The reversal of 63642240 is 4224636.

63642240 is a `hidden beast` number, since 636 + 4 + 2 + 24 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (63642247) 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 31 ways as a sum of consecutive naturals, for example, 501057 + ... + 501183.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^63642240 is an apocalyptic number.

63642240 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 63642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117504000).

63642240 is an abundant number, since it is smaller than the sum of its proper divisors (171365760).

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

63642240 is a wasteful number, since it uses less digits than its factorization.

63642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 63642240 is about 7977.6086642552. The cubic root of 63642240 is about 399.2532735331.

Adding to 63642240 its reverse (4224636), we get a palindrome (67866876).

The spelling of 63642240 in words is "sixty-three million, six hundred forty-two thousand, two hundred forty".