63620 has 12 divisors (see below), whose sum is σ = 133644. Its totient is φ = 25440.

The previous prime is 63617. The next prime is 63629. The reversal of 63620 is 2636.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 51076 = 112^2 + 226^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (63629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1571 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (11137).

2⁶³⁶²⁰ is an apocalyptic number.

It is an amenable number.

63620 is an abundant number, since it is smaller than the sum of its proper divisors (70024).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66822).

63620 is a wasteful number, since it uses less digits than its factorization.

63620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 63620 is about 252.2300537208. The cubic root of 63620 is about 39.9206761304.

Adding to 63620 its product of nonzero digits (216), we get a palindrome (63836).

It can be divided in two parts, 636 and 20, that multiplied together give a triangular number (12720 = T₁₅₉).

The spelling of 63620 in words is "sixty-three thousand, six hundred twenty".