61120 has 28 divisors (see below), whose sum is σ = 146304. Its totient is φ = 24320.

The previous prime is 61099. The next prime is 61121. The reversal of 61120 is 2116.

61120 is nontrivially palindromic in base 11.

61120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 61097 and 61106.

It is not an unprimeable number, because it can be changed into a prime (61121) by changing a digit.

61120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225 + ... + 415.

2⁶¹¹²⁰ 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 61120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152).

61120 is an abundant number, since it is smaller than the sum of its proper divisors (85184).

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

61120 is a wasteful number, since it uses less digits than its factorization.

61120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 61120 is about 247.2245942458. The cubic root of 61120 is about 39.3907680192.

Adding to 61120 its reverse (2116), we get a palindrome (63236).

It can be divided in two parts, 61 and 120, that added together give a palindrome (181).

The spelling of 61120 in words is "sixty-one thousand, one hundred twenty".