65760768 has 160 divisors (see below), whose sum is σ = 200344320. Its totient is φ = 21288960.

The previous prime is 65760733. The next prime is 65760769. The reversal of 65760768 is 86706756.

65760768 is a `hidden beast` number, since 6 + 576 + 0 + 76 + 8 = 666.

65760768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65760769) 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 15 ways as a sum of consecutive naturals, for example, 926173 + ... + 926243.

It is an arithmetic number, because the mean of its divisors is an integer number (1252152).

Almost surely, 2^65760768 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 65760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100172160).

65760768 is an abundant number, since it is smaller than the sum of its proper divisors (134583552).

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

65760768 is an equidigital number, since it uses as much as digits as its factorization.

65760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 65760768 is about 8109.3013262549. The cubic root of 65760768 is about 403.6351311470.

It can be divided in two parts, 657 and 60768, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 65760768 in words is "sixty-five million, seven hundred sixty thousand, seven hundred sixty-eight".