66024 has 48 divisors (see below), whose sum is σ = 205920. Its totient is φ = 18720.

The previous prime is 65993. The next prime is 66029. The reversal of 66024 is 42066.

66024 = T₅₆ + T₅₇ + ... + T₈₂.

66024 = 27³ + 28³ + 29³.

66024 is a `hidden beast` number, since 660 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 65988 and 66006.

It is not an unprimeable number, because it can be changed into a prime (66029) by changing a digit.

66024 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 11 ways as a sum of consecutive naturals, for example, 439 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (4290).

2⁶⁶⁰²⁴ 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 66024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102960).

66024 is an abundant number, since it is smaller than the sum of its proper divisors (139896).

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

66024 is a wasteful number, since it uses less digits than its factorization.

66024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66024 is about 256.9513572644. The cubic root of 66024 is about 40.4172980853.

The spelling of 66024 in words is "sixty-six thousand, twenty-four".