66562016 has 48 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 31125888.

The previous prime is 66561973. The next prime is 66562019. The reversal of 66562016 is 61026566.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66562019) 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 7 ways as a sum of consecutive naturals, for example, 49805 + ... + 51123.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^66562016 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 66562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

66562016 is an abundant number, since it is smaller than the sum of its proper divisors (73146784).

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

66562016 is a wasteful number, since it uses less digits than its factorization.

66562016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 66562016 is about 8158.5547739780. The cubic root of 66562016 is about 405.2678530920.

The spelling of 66562016 in words is "sixty-six million, five hundred sixty-two thousand, sixteen".