65115216 has 90 divisors (see below), whose sum is σ = 187479630. Its totient is φ = 21096960.

The previous prime is 65115203. The next prime is 65115229. The reversal of 65115216 is 61251156.

It is a happy number.

65115216 is a `hidden beast` number, since 651 + 1 + 5 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (65115203) and next prime (65115229).

It can be written as a sum of positive squares in 3 ways, for example, as 11532816 + 53582400 = 3396^2 + 7320^2 .

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 self number, because there is not a number n which added to its sum of digits gives 65115216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241930 + ... + 242198.

It is an arithmetic number, because the mean of its divisors is an integer number (2083107).

Almost surely, 2^65115216 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 65115216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93739815).

65115216 is an abundant number, since it is smaller than the sum of its proper divisors (122364414).

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

65115216 is a wasteful number, since it uses less digits than its factorization.

65115216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 315 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 65115216 is about 8069.3999776935. The cubic root of 65115216 is about 402.3100007282.

The spelling of 65115216 in words is "sixty-five million, one hundred fifteen thousand, two hundred sixteen".