65609016 has 64 divisors (see below), whose sum is σ = 179815680. Its totient is φ = 19783680.

The previous prime is 65608997. The next prime is 65609017. The reversal of 65609016 is 61090656.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65609017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67365 + ... + 68331.

It is an arithmetic number, because the mean of its divisors is an integer number (2809620).

Almost surely, 2^65609016 is an apocalyptic number.

65609016 is a gapful number since it is divisible by the number (66) 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 65609016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89907840).

65609016 is an abundant number, since it is smaller than the sum of its proper divisors (114206664).

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

65609016 is a wasteful number, since it uses less digits than its factorization.

65609016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 65609016 is about 8099.9392590315. The cubic root of 65609016 is about 403.3244108553.

It can be divided in two parts, 6560 and 9016, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 65609016 in words is "sixty-five million, six hundred nine thousand, sixteen".