65565984 has 96 divisors (see below), whose sum is σ = 194322240. Its totient is φ = 19174400.

The previous prime is 65565977. The next prime is 65566009. The reversal of 65565984 is 48956556.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 29554 + ... + 31694.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 2^65565984 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 65565984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97161120).

65565984 is an abundant number, since it is smaller than the sum of its proper divisors (128756256).

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

65565984 is a wasteful number, since it uses less digits than its factorization.

65565984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 65565984 is about 8097.2825071131. The cubic root of 65565984 is about 403.2362133637.

The spelling of 65565984 in words is "sixty-five million, five hundred sixty-five thousand, nine hundred eighty-four".