65416416 has 192 divisors, whose sum is σ = 201180672. Its totient is φ = 18450432.

The previous prime is 65416409. The next prime is 65416423. The reversal of 65416416 is 61461456.

It is a happy number.

65416416 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 (65416409) and next prime (65416423).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1234246 + ... + 1234298.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816).

Almost surely, 2^65416416 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 65416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100590336).

65416416 is an abundant number, since it is smaller than the sum of its proper divisors (135764256).

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

65416416 is a wasteful number, since it uses less digits than its factorization.

65416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 65416416 is about 8088.0415429200. The cubic root of 65416416 is about 402.9293614017.

The spelling of 65416416 in words is "sixty-five million, four hundred sixteen thousand, four hundred sixteen".