66412524 has 48 divisors (see below), whose sum is σ = 165916800. Its totient is φ = 20612736.

The previous prime is 66412517. The next prime is 66412529. The reversal of 66412524 is 42521466.

It is a junction number, because it is equal to n+sod(n) for n = 66412491 and 66412500.

It is not an unprimeable number, because it can be changed into a prime (66412529) by changing a digit.

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, 10984 + ... + 15920.

It is an arithmetic number, because the mean of its divisors is an integer number (3456600).

Almost surely, 2^66412524 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 66412524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82958400).

66412524 is an abundant number, since it is smaller than the sum of its proper divisors (99504276).

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

66412524 is a wasteful number, since it uses less digits than its factorization.

66412524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5020 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 66412524 is about 8149.3879524784. The cubic root of 66412524 is about 404.9642279028.

The spelling of 66412524 in words is "sixty-six million, four hundred twelve thousand, five hundred twenty-four".