63205920 has 120 divisors (see below), whose sum is σ = 223109964. Its totient is φ = 16851456.

The previous prime is 63205907. The next prime is 63205921. The reversal of 63205920 is 2950236.

63205920 is a `hidden beast` number, since 632 + 0 + 5 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 2178576 = 7812^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (63205921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10522 + ... + 15398.

Almost surely, 2^63205920 is an apocalyptic number.

63205920 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 63205920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111554982).

63205920 is an abundant number, since it is smaller than the sum of its proper divisors (159904044).

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

63205920 is a wasteful number, since it uses less digits than its factorization.

63205920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 63205920 is about 7950.2150914299. The cubic root of 63205920 is about 398.3387770634.

The spelling of 63205920 in words is "sixty-three million, two hundred five thousand, nine hundred twenty".