63205680 has 80 divisors (see below), whose sum is σ = 199674720. Its totient is φ = 16533504.

The previous prime is 63205673. The next prime is 63205687. The reversal of 63205680 is 8650236.

It is an interprime number because it is at equal distance from previous prime (63205673) and next prime (63205687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (63205687) 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 15 ways as a sum of consecutive naturals, for example, 10236 + ... + 15204.

It is an arithmetic number, because the mean of its divisors is an integer number (2495934).

Almost surely, 2^63205680 is an apocalyptic number.

63205680 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 63205680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99837360).

63205680 is an abundant number, since it is smaller than the sum of its proper divisors (136469040).

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

63205680 is a wasteful number, since it uses less digits than its factorization.

63205680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 63205680 is about 7950.1999974843. The cubic root of 63205680 is about 398.3382728837.

The spelling of 63205680 in words is "sixty-three million, two hundred five thousand, six hundred eighty".