65960960 has 88 divisors (see below), whose sum is σ = 170572416. Its totient is φ = 24330240.

The previous prime is 65960957. The next prime is 65961019. The reversal of 65960960 is 6906956.

65960960 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 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 7 ways as a sum of consecutive naturals, for example, 66065 + ... + 67055.

Almost surely, 2^65960960 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 65960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85286208).

65960960 is an abundant number, since it is smaller than the sum of its proper divisors (104611456).

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

65960960 is a wasteful number, since it uses less digits than its factorization.

65960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 65960960 is about 8121.6353033118. The cubic root of 65960960 is about 404.0443045226.

The spelling of 65960960 in words is "sixty-five million, nine hundred sixty thousand, nine hundred sixty".