66605112 has 256 divisors, whose sum is σ = 230400000. Its totient is φ = 17781120.

The previous prime is 66605059. The next prime is 66605117. The reversal of 66605112 is 21150666.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66605117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2148537 + ... + 2148567.

It is an arithmetic number, because the mean of its divisors is an integer number (900000).

Almost surely, 2^66605112 is an apocalyptic number.

66605112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66605112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200000).

66605112 is an abundant number, since it is smaller than the sum of its proper divisors (163794888).

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

66605112 is a wasteful number, since it uses less digits than its factorization.

66605112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66605112 is about 8161.1955006604. The cubic root of 66605112 is about 405.3552986375.

Adding to 66605112 its reverse (21150666), we get a palindrome (87755778).

The spelling of 66605112 in words is "sixty-six million, six hundred five thousand, one hundred twelve".