65694816 has 144 divisors (see below), whose sum is σ = 206977680. Its totient is φ = 19599360.

The previous prime is 65694793. The next prime is 65694823. The reversal of 65694816 is 61849656.

65694816 is a `hidden beast` number, since 6 + 569 + 4 + 81 + 6 = 666.

65694816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 281836 + ... + 282068.

It is an arithmetic number, because the mean of its divisors is an integer number (1437345).

Almost surely, 2^65694816 is an apocalyptic number.

65694816 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 65694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103488840).

65694816 is an abundant number, since it is smaller than the sum of its proper divisors (141282864).

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

65694816 is a wasteful number, since it uses less digits than its factorization.

65694816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 65694816 is about 8105.2338646087. The cubic root of 65694816 is about 403.5001497123.

The spelling of 65694816 in words is "sixty-five million, six hundred ninety-four thousand, eight hundred sixteen".