63201960 has 72 divisors (see below), whose sum is σ = 205897770. Its totient is φ = 16813632.

The previous prime is 63201947. The next prime is 63201967. The reversal of 63201960 is 6910236.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56881764 + 6320196 = 7542^2 + 2514^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (63201967) 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 17 ways as a sum of consecutive naturals, for example, 150631 + ... + 151049.

Almost surely, 2^63201960 is an apocalyptic number.

63201960 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 63201960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102948885).

63201960 is an abundant number, since it is smaller than the sum of its proper divisors (142695810).

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

63201960 is a wasteful number, since it uses less digits than its factorization.

63201960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 63201960 is about 7949.9660376633. The cubic root of 63201960 is about 398.3304579350.

The spelling of 63201960 in words is "sixty-three million, two hundred one thousand, nine hundred sixty".