66124410 has 64 divisors (see below), whose sum is σ = 174403584. Its totient is φ = 15912000.

The previous prime is 66124403. The next prime is 66124417. The reversal of 66124410 is 1442166.

It is an interprime number because it is at equal distance from previous prime (66124403) and next prime (66124417).

It is not an unprimeable number, because it can be changed into a prime (66124417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49167 + ... + 50493.

It is an arithmetic number, because the mean of its divisors is an integer number (2725056).

Almost surely, 2^66124410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66124410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87201792).

66124410 is an abundant number, since it is smaller than the sum of its proper divisors (108279174).

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

66124410 is a wasteful number, since it uses less digits than its factorization.

66124410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66124410 is about 8131.6917059121. The cubic root of 66124410 is about 404.3777672611.

Adding to 66124410 its reverse (1442166), we get a palindrome (67566576).

The spelling of 66124410 in words is "sixty-six million, one hundred twenty-four thousand, four hundred ten".