66206112 has 96 divisors (see below), whose sum is σ = 201180672. Its totient is φ = 18672384.

The previous prime is 66206093. The next prime is 66206131. The reversal of 66206112 is 21160266.

66206112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66206093) and next prime (66206131).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55183 + ... + 56369.

It is an arithmetic number, because the mean of its divisors is an integer number (2095632).

Almost surely, 2^66206112 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 66206112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100590336).

66206112 is an abundant number, since it is smaller than the sum of its proper divisors (134974560).

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

66206112 is a wasteful number, since it uses less digits than its factorization.

66206112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66206112 is about 8136.7138329918. The cubic root of 66206112 is about 404.5442457444.

Adding to 66206112 its reverse (21160266), we get a palindrome (87366378).

The spelling of 66206112 in words is "sixty-six million, two hundred six thousand, one hundred twelve".