65305440 has 120 divisors (see below), whose sum is σ = 230519520. Its totient is φ = 17411328.

The previous prime is 65305421. The next prime is 65305453. The reversal of 65305440 is 4450356.

65305440 is a `hidden beast` number, since 653 + 0 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10441 + ... + 15479.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^65305440 is an apocalyptic number.

65305440 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 65305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115259760).

65305440 is an abundant number, since it is smaller than the sum of its proper divisors (165214080).

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

65305440 is a wasteful number, since it uses less digits than its factorization.

65305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 65305440 is about 8081.1781319310. The cubic root of 65305440 is about 402.7013819365.

Adding to 65305440 its reverse (4450356), we get a palindrome (69755796).

The spelling of 65305440 in words is "sixty-five million, three hundred five thousand, four hundred forty".