63966980 has 96 divisors (see below), whose sum is σ = 170069760. Its totient is φ = 19630080.

The previous prime is 63966967. The next prime is 63966983. The reversal of 63966980 is 8966936.

It is not an unprimeable number, because it can be changed into a prime (63966983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112136 + ... + 112704.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 2^63966980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63966980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85034880).

63966980 is an abundant number, since it is smaller than the sum of its proper divisors (106102780).

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

63966980 is a wasteful number, since it uses less digits than its factorization.

63966980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 63966980 is about 7997.9359837398. The cubic root of 63966980 is about 399.9311964992.

It can be divided in two parts, 63966 and 980, that added together give a palindrome (64946).

The spelling of 63966980 in words is "sixty-three million, nine hundred sixty-six thousand, nine hundred eighty".