65505680 has 20 divisors (see below), whose sum is σ = 152300892. Its totient is φ = 26202240.

The previous prime is 65505647. The next prime is 65505683. The reversal of 65505680 is 8650556.

65505680 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 2 ways, for example, as 11806096 + 53699584 = 3436^2 + 7328^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×65505680² = 8581988224524800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 65505680.

It is not an unprimeable number, because it can be changed into a prime (65505683) 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 3 ways as a sum of consecutive naturals, for example, 409331 + ... + 409490.

Almost surely, 2^65505680 is an apocalyptic number.

It is an amenable number.

65505680 is an abundant number, since it is smaller than the sum of its proper divisors (86795212).

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

65505680 is a wasteful number, since it uses less digits than its factorization.

65505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818834 (or 818828 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 65505680 is about 8093.5579320840. The cubic root of 65505680 is about 403.1125505840.

The spelling of 65505680 in words is "sixty-five million, five hundred five thousand, six hundred eighty".