65332116 has 48 divisors (see below), whose sum is σ = 172267200. Its totient is φ = 21406176.

The previous prime is 65332109. The next prime is 65332129. The reversal of 65332116 is 61123356.

65332116 is a `hidden beast` number, since 653 + 3 + 2 + 1 + 1 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 65332116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246 + ... + 11498.

It is an arithmetic number, because the mean of its divisors is an integer number (3588900).

Almost surely, 2^65332116 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 65332116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86133600).

65332116 is an abundant number, since it is smaller than the sum of its proper divisors (106935084).

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

65332116 is a wasteful number, since it uses less digits than its factorization.

65332116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10325 (or 10317 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 65332116 is about 8082.8284653332. The cubic root of 65332116 is about 402.7562063621.

It can be divided in two parts, 6533 and 2116, that added together give a square (8649 = 93²).

The spelling of 65332116 in words is "sixty-five million, three hundred thirty-two thousand, one hundred sixteen".