65687120 has 20 divisors (see below), whose sum is σ = 152722740. Its totient is φ = 26274816.

The previous prime is 65687081. The next prime is 65687129. The reversal of 65687120 is 2178656.

65687120 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 10214416 + 55472704 = 3196^2 + 7448^2 .

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

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (65687129) 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, 410465 + ... + 410624.

It is an arithmetic number, because the mean of its divisors is an integer number (7636137).

Almost surely, 2^65687120 is an apocalyptic number.

It is an amenable number.

65687120 is an abundant number, since it is smaller than the sum of its proper divisors (87035620).

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

65687120 is a wasteful number, since it uses less digits than its factorization.

65687120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821102 (or 821096 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 65687120 is about 8104.7590957412. The cubic root of 65687120 is about 403.4843927185.

The spelling of 65687120 in words is "sixty-five million, six hundred eighty-seven thousand, one hundred twenty".