65906760 has 64 divisors (see below), whose sum is σ = 198475200. Its totient is φ = 17508096.

The previous prime is 65906759. The next prime is 65906767. The reversal of 65906760 is 6760956.

It is a happy number.

65906760 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 (65906767) 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, 35946 + ... + 37734.

It is an arithmetic number, because the mean of its divisors is an integer number (3101175).

Almost surely, 2^65906760 is an apocalyptic number.

65906760 is a gapful number since it is divisible by the number (60) 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 65906760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99237600).

65906760 is an abundant number, since it is smaller than the sum of its proper divisors (132568440).

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

65906760 is a wasteful number, since it uses less digits than its factorization.

65906760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 65906760 is about 8118.2978511508. The cubic root of 65906760 is about 403.9336067087.

It can be divided in two parts, 65906 and 760, that added together give a palindrome (66666).

The spelling of 65906760 in words is "sixty-five million, nine hundred six thousand, seven hundred sixty".