63053120 has 112 divisors (see below), whose sum is σ = 168981120. Its totient is φ = 22235136.

The previous prime is 63053117. The next prime is 63053129. The reversal of 63053120 is 2135036.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 63053092 and 63053101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63053129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95351 + ... + 96009.

It is an arithmetic number, because the mean of its divisors is an integer number (1508760).

Almost surely, 2^63053120 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 63053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

63053120 is an abundant number, since it is smaller than the sum of its proper divisors (105928000).

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

63053120 is a wasteful number, since it uses less digits than its factorization.

63053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 63053120 is about 7940.5994735914. The cubic root of 63053120 is about 398.0175240384.

Adding to 63053120 its reverse (2135036), we get a palindrome (65188156).

The spelling of 63053120 in words is "sixty-three million, fifty-three thousand, one hundred twenty".