63768060 has 72 divisors (see below), whose sum is σ = 200609136. Its totient is φ = 17003520.

The previous prime is 63768059. The next prime is 63768073. The reversal of 63768060 is 6086736.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1701 + ... + 11420.

It is an arithmetic number, because the mean of its divisors is an integer number (2786238).

Almost surely, 2^63768060 is an apocalyptic number.

63768060 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 63768060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100304568).

63768060 is an abundant number, since it is smaller than the sum of its proper divisors (136841076).

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

63768060 is a wasteful number, since it uses less digits than its factorization.

63768060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145 (or 13131 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 63768060 is about 7985.4905923180. The cubic root of 63768060 is about 399.5162067628.

The spelling of 63768060 in words is "sixty-three million, seven hundred sixty-eight thousand, sixty".