65642016 has 72 divisors (see below), whose sum is σ = 189432432. Its totient is φ = 19888000.

The previous prime is 65642011. The next prime is 65642041. The reversal of 65642016 is 61024656.

65642016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65642011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8791 + ... + 14441.

It is an arithmetic number, because the mean of its divisors is an integer number (2631006).

Almost surely, 2^65642016 is an apocalyptic number.

65642016 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 65642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94716216).

65642016 is an abundant number, since it is smaller than the sum of its proper divisors (123790416).

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

65642016 is a wasteful number, since it uses less digits than its factorization.

65642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5686 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 65642016 is about 8101.9760552596. The cubic root of 65642016 is about 403.3920208449.

The spelling of 65642016 in words is "sixty-five million, six hundred forty-two thousand, sixteen".