65655040 has 72 divisors (see below), whose sum is σ = 171597888. Its totient is φ = 23869440.

The previous prime is 65655011. The next prime is 65655053. The reversal of 65655040 is 4055656.

It is a junction number, because it is equal to n+sod(n) for n = 65654993 and 65655011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11749 + ... + 16411.

It is an arithmetic number, because the mean of its divisors is an integer number (2383304).

Almost surely, 2^65655040 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 65655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85798944).

65655040 is an abundant number, since it is smaller than the sum of its proper divisors (105942848).

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

65655040 is a wasteful number, since it uses less digits than its factorization.

65655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 65655040 is about 8102.7797699308. The cubic root of 65655040 is about 403.4186980179.

It can be divided in two parts, 656 and 55040, that added together give a square (55696 = 236²).

The spelling of 65655040 in words is "sixty-five million, six hundred fifty-five thousand, forty".