65625360 has 80 divisors (see below), whose sum is σ = 204391680. Its totient is φ = 17418240.

The previous prime is 65625359. The next prime is 65625377. The reversal of 65625360 is 6352656.

65625360 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 (80).

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, 64536 + ... + 65544.

It is an arithmetic number, because the mean of its divisors is an integer number (2554896).

Almost surely, 2^65625360 is an apocalyptic number.

65625360 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 65625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102195840).

65625360 is an abundant number, since it is smaller than the sum of its proper divisors (138766320).

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

65625360 is a wasteful number, since it uses less digits than its factorization.

65625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 65625360 is about 8100.9480926617. The cubic root of 65625360 is about 403.3578990722.

The spelling of 65625360 in words is "sixty-five million, six hundred twenty-five thousand, three hundred sixty".