63486720 has 288 divisors, whose sum is σ = 247242240. Its totient is φ = 15298560.

The previous prime is 63486719. The next prime is 63486727. The reversal of 63486720 is 2768436.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63486727) 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, 380077 + ... + 380243.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^63486720 is an apocalyptic number.

63486720 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 63486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

63486720 is an abundant number, since it is smaller than the sum of its proper divisors (183755520).

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

63486720 is a wasteful number, since it uses less digits than its factorization.

63486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 63486720 is about 7967.8554203750. The cubic root of 63486720 is about 398.9277951767.

The spelling of 63486720 in words is "sixty-three million, four hundred eighty-six thousand, seven hundred twenty".