65040 has 40 divisors (see below), whose sum is σ = 202368. Its totient is φ = 17280.

The previous prime is 65033. The next prime is 65053. The reversal of 65040 is 4056.

65040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is an unprimeable number.

65040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 375.

2⁶⁵⁰⁴⁰ is an apocalyptic number.

65040 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 65040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101184).

65040 is an abundant number, since it is smaller than the sum of its proper divisors (137328).

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

65040 is a wasteful number, since it uses less digits than its factorization.

65040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 65040 is about 255.0294100687. The cubic root of 65040 is about 40.2155035372.

Subtracting from 65040 its sum of digits (15), we obtain a square (65025 = 255²).

Adding to 65040 its reverse (4056), we get a palindrome (69096).

The spelling of 65040 in words is "sixty-five thousand, forty".