65518560 has 144 divisors (see below), whose sum is σ = 225729504. Its totient is φ = 17304576.

The previous prime is 65518543. The next prime is 65518573. The reversal of 65518560 is 6581556.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248989 + ... + 249251.

It is an arithmetic number, because the mean of its divisors is an integer number (1567566).

Almost surely, 2^65518560 is an apocalyptic number.

65518560 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 65518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112864752).

65518560 is an abundant number, since it is smaller than the sum of its proper divisors (160210944).

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

65518560 is a wasteful number, since it uses less digits than its factorization.

65518560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 65518560 is about 8094.3535875325. The cubic root of 65518560 is about 403.1389694096.

The spelling of 65518560 in words is "sixty-five million, five hundred eighteen thousand, five hundred sixty".