65688480 has 432 divisors, whose sum is σ = 274496040. Its totient is φ = 14192640.

The previous prime is 65688449. The next prime is 65688499. The reversal of 65688480 is 8488656.

65688480 is a `hidden beast` number, since 6 + 568 + 8 + 4 + 80 = 666.

65688480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 23853456 = 6468^2 + 4884^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 2265106 + ... + 2265134.

Almost surely, 2^65688480 is an apocalyptic number.

65688480 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 65688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137248020).

65688480 is an abundant number, since it is smaller than the sum of its proper divisors (208807560).

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

65688480 is a wasteful number, since it uses less digits than its factorization.

65688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 65688480 is about 8104.8429966286. The cubic root of 65688480 is about 403.4871773080.

The spelling of 65688480 in words is "sixty-five million, six hundred eighty-eight thousand, four hundred eighty".