63520 has 24 divisors (see below), whose sum is σ = 150444. Its totient is φ = 25344.

The previous prime is 63499. The next prime is 63521. The reversal of 63520 is 2536.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 16 = 252^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 63494 and 63503.

It is not an unprimeable number, because it can be changed into a prime (63521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 358.

2⁶³⁵²⁰ is an apocalyptic number.

It is an amenable number.

63520 is an abundant number, since it is smaller than the sum of its proper divisors (86924).

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 (75222).

63520 is a wasteful number, since it uses less digits than its factorization.

63520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 63520 is about 252.0317440324. The cubic root of 63520 is about 39.8997489531.

Adding to 63520 its sum of digits (16), we get a palindrome (63536).

Subtracting from 63520 its sum of digits (16), we obtain a square (63504 = 252²).

The spelling of 63520 in words is "sixty-three thousand, five hundred twenty".