65886016 has 112 divisors (see below), whose sum is σ = 162836352. Its totient is φ = 25804800.

The previous prime is 65886013. The next prime is 65886047. The reversal of 65886016 is 61068856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 65886016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65886013) 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, 312151 + ... + 312361.

It is an arithmetic number, because the mean of its divisors is an integer number (1453896).

Almost surely, 2^65886016 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 65886016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81418176).

65886016 is an abundant number, since it is smaller than the sum of its proper divisors (96950336).

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

65886016 is a wasteful number, since it uses less digits than its factorization.

65886016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 65886016 is about 8117.0201428849. The cubic root of 65886016 is about 403.8912232061.

The spelling of 65886016 in words is "sixty-five million, eight hundred eighty-six thousand, sixteen".