61224 has 16 divisors (see below), whose sum is σ = 153120. Its totient is φ = 20400.

The previous prime is 61223. The next prime is 61231. The reversal of 61224 is 42216.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (61223) 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, 1252 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (9570).

2⁶¹²²⁴ is an apocalyptic number.

It is an amenable number.

61224 is an abundant number, since it is smaller than the sum of its proper divisors (91896).

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 (76560).

61224 is a wasteful number, since it uses less digits than its factorization.

61224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2556 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 61224 is about 247.4348399074. The cubic root of 61224 is about 39.4130974176.

It can be divided in two parts, 612 and 24, that added together give a palindrome (636).

The spelling of 61224 in words is "sixty-one thousand, two hundred twenty-four".