63840480 has 192 divisors, whose sum is σ = 223388928. Its totient is φ = 15196160.

The previous prime is 63840473. The next prime is 63840499. The reversal of 63840480 is 8404836.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 564904 + ... + 565016.

It is an arithmetic number, because the mean of its divisors is an integer number (1163484).

Almost surely, 2^63840480 is an apocalyptic number.

63840480 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 63840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111694464).

63840480 is an abundant number, since it is smaller than the sum of its proper divisors (159548448).

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

63840480 is a wasteful number, since it uses less digits than its factorization.

63840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

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

The square root of 63840480 is about 7990.0237796893. The cubic root of 63840480 is about 399.6673901701.

The spelling of 63840480 in words is "sixty-three million, eight hundred forty thousand, four hundred eighty".