63120 has 40 divisors (see below), whose sum is σ = 196416. Its totient is φ = 16768.

The previous prime is 63113. The next prime is 63127. The reversal of 63120 is 2136.

63120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63113) and next prime (63127).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 63096 and 63105.

It is not an unprimeable number, because it can be changed into a prime (63127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109 + ... + 371.

2⁶³¹²⁰ is an apocalyptic number.

63120 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 63120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

63120 is an abundant number, since it is smaller than the sum of its proper divisors (133296).

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

63120 is a wasteful number, since it uses less digits than its factorization.

63120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 63120 is about 251.2369399591. The cubic root of 63120 is about 39.8158199107.

Adding to 63120 its reverse (2136), we get a palindrome (65256).

The spelling of 63120 in words is "sixty-three thousand, one hundred twenty".