66024828 has 48 divisors (see below), whose sum is σ = 173124000. Its totient is φ = 21757824.

The previous prime is 66024809. The next prime is 66024841. The reversal of 66024828 is 82842066.

66024828 is a `hidden beast` number, since 6 + 602 + 48 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66024792 and 66024801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6178 + ... + 13046.

It is an arithmetic number, because the mean of its divisors is an integer number (3606750).

Almost surely, 2^66024828 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 66024828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86562000).

66024828 is an abundant number, since it is smaller than the sum of its proper divisors (107099172).

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

66024828 is a wasteful number, since it uses less digits than its factorization.

66024828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 66024828 is about 8125.5663187251. The cubic root of 66024828 is about 404.1746704099.

The spelling of 66024828 in words is "sixty-six million, twenty-four thousand, eight hundred twenty-eight".