60024 has 32 divisors (see below), whose sum is σ = 156240. Its totient is φ = 19200.

The previous prime is 60017. The next prime is 60029. The reversal of 60024 is 42006.

It is a Cunningham number, because it is equal to 245²-1.

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

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 59991 and 60009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60029) by changing a digit.

60024 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 7 ways as a sum of consecutive naturals, for example, 954 + ... + 1014.

2⁶⁰⁰²⁴ 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 60024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

60024 is an abundant number, since it is smaller than the sum of its proper divisors (96216).

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

60024 is a wasteful number, since it uses less digits than its factorization.

60024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 60024 is about 244.9979591752. The cubic root of 60024 is about 39.1538955394.

It can be divided in two parts, 6002 and 4, that added together give a palindrome (6006).

The spelling of 60024 in words is "sixty thousand, twenty-four".