65606112 has 288 divisors, whose sum is σ = 231154560. Its totient is φ = 18040320.

The previous prime is 65606081. The next prime is 65606113. The reversal of 65606112 is 21160656.

It is a happy number.

65606112 is a `hidden beast` number, since 656 + 0 + 6 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (65606113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111939 + ... + 1111997.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 2^65606112 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 65606112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

65606112 is an abundant number, since it is smaller than the sum of its proper divisors (165548448).

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

65606112 is a wasteful number, since it uses less digits than its factorization.

65606112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

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

The square root of 65606112 is about 8099.7599964443. The cubic root of 65606112 is about 403.3184600910.

Adding to 65606112 its reverse (21160656), we get a palindrome (86766768).

The spelling of 65606112 in words is "sixty-five million, six hundred six thousand, one hundred twelve".