65386880 has 128 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 23224320.

The previous prime is 65386873. The next prime is 65386891. The reversal of 65386880 is 8868356.

65386880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×65386880² = 8550888152268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 241145 + ... + 241415.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 2^65386880 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 65386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

65386880 is an abundant number, since it is smaller than the sum of its proper divisors (109400320).

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

65386880 is a wasteful number, since it uses less digits than its factorization.

65386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 65386880 is about 8086.2154312138. The cubic root of 65386880 is about 402.8687104015.

It can be divided in two parts, 65386 and 880, that added together give a palindrome (66266).

The spelling of 65386880 in words is "sixty-five million, three hundred eighty-six thousand, eight hundred eighty".