65365440 has 224 divisors, whose sum is σ = 242279424. Its totient is φ = 14622720.

The previous prime is 65365423. The next prime is 65365457. The reversal of 65365440 is 4456356.

65365440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65365423) and next prime (65365457).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477052 + ... + 477188.

Almost surely, 2^65365440 is an apocalyptic number.

65365440 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 65365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121139712).

65365440 is an abundant number, since it is smaller than the sum of its proper divisors (176913984).

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

65365440 is a wasteful number, since it uses less digits than its factorization.

65365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 65365440 is about 8084.8896096360. The cubic root of 65365440 is about 402.8246727730.

The spelling of 65365440 in words is "sixty-five million, three hundred sixty-five thousand, four hundred forty".