65535360 has 256 divisors, whose sum is σ = 237945600. Its totient is φ = 15196160.

The previous prime is 65535329. The next prime is 65535361. The reversal of 65535360 is 6353556.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65535361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612427 + ... + 612533.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 2^65535360 is an apocalyptic number.

65535360 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 65535360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118972800).

65535360 is an abundant number, since it is smaller than the sum of its proper divisors (172410240).

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

65535360 is a wasteful number, since it uses less digits than its factorization.

65535360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 65535360 is about 8095.3912814638. The cubic root of 65535360 is about 403.1734235443.

The spelling of 65535360 in words is "sixty-five million, five hundred thirty-five thousand, three hundred sixty".