65568960 has 112 divisors (see below), whose sum is σ = 231343200. Its totient is φ = 17482752.

The previous prime is 65568911. The next prime is 65568967. The reversal of 65568960 is 6986556.

65568960 is a `hidden beast` number, since 6 + 556 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (65568967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4846 + ... + 12434.

Almost surely, 2^65568960 is an apocalyptic number.

65568960 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 65568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115671600).

65568960 is an abundant number, since it is smaller than the sum of its proper divisors (165774240).

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

65568960 is a wasteful number, since it uses less digits than its factorization.

65568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 65568960 is about 8097.4662703836. The cubic root of 65568960 is about 403.2423141533.

The spelling of 65568960 in words is "sixty-five million, five hundred sixty-eight thousand, nine hundred sixty".