65526560 has 96 divisors (see below), whose sum is σ = 174472704. Its totient is φ = 23040000.

The previous prime is 65526557. The next prime is 65526589. The reversal of 65526560 is 6562556.

It is a self number, because there is not a number n which added to its sum of digits gives 65526560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53960 + ... + 55160.

It is an arithmetic number, because the mean of its divisors is an integer number (1817424).

Almost surely, 2^65526560 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 65526560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87236352).

65526560 is an abundant number, since it is smaller than the sum of its proper divisors (108946144).

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

65526560 is a wasteful number, since it uses less digits than its factorization.

65526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 65526560 is about 8094.8477440901. The cubic root of 65526560 is about 403.1553768749.

It can be divided in two parts, 65 and 526560, that added together give a palindrome (526625).

The spelling of 65526560 in words is "sixty-five million, five hundred twenty-six thousand, five hundred sixty".