65565000 has 240 divisors, whose sum is σ = 233925120. Its totient is φ = 16560000.

The previous prime is 65564987. The next prime is 65565001. The reversal of 65565000 is 56556.

65565000 is a `hidden beast` number, since 6 + 5 + 5 + 650 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65565001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1394977 + ... + 1395023.

It is an arithmetic number, because the mean of its divisors is an integer number (974688).

Almost surely, 2^65565000 is an apocalyptic number.

65565000 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 65565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116962560).

65565000 is an abundant number, since it is smaller than the sum of its proper divisors (168360120).

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

65565000 is a wasteful number, since it uses less digits than its factorization.

65565000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 65565000 is about 8097.2217457595. The cubic root of 65565000 is about 403.2341961265.

The spelling of 65565000 in words is "sixty-five million, five hundred sixty-five thousand".