65505648 has 80 divisors (see below), whose sum is σ = 184050720. Its totient is φ = 19955712.

The previous prime is 65505647. The next prime is 65505683. The reversal of 65505648 is 84650556.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65505647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70048 + ... + 70976.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2^65505648 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 65505648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92025360).

65505648 is an abundant number, since it is smaller than the sum of its proper divisors (118545072).

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

65505648 is a wasteful number, since it uses less digits than its factorization.

65505648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 65505648 is about 8093.5559552029. Note that the first 3 decimals coincide. The cubic root of 65505648 is about 403.1124849429.

The spelling of 65505648 in words is "sixty-five million, five hundred five thousand, six hundred forty-eight".