61124 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 25056.

The previous prime is 61121. The next prime is 61129. The reversal of 61124 is 42116.

It is a super-2 number, since 2×61124² = 7472286752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 61099 and 61108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61121) 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, 1007 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁶¹¹²⁴ 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 61124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

61124 is an abundant number, since it is smaller than the sum of its proper divisors (66556).

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

61124 is a wasteful number, since it uses less digits than its factorization.

61124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 61124 is about 247.2326839235. The cubic root of 61124 is about 39.3916273104.

It can be divided in two parts, 6112 and 4, that added together give a palindrome (6116).

The spelling of 61124 in words is "sixty-one thousand, one hundred twenty-four".