65940 has 48 divisors (see below), whose sum is σ = 212352. Its totient is φ = 14976.

The previous prime is 65929. The next prime is 65951. The reversal of 65940 is 4956.

65940 = T₇₁ + T₇₂ + ... + T₉₀.

It is an interprime number because it is at equal distance from previous prime (65929) and next prime (65951).

It is a self number, because there is not a number n which added to its sum of digits gives 65940.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (4424).

2⁶⁵⁹⁴⁰ is an apocalyptic number.

65940 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 65940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106176).

65940 is an abundant number, since it is smaller than the sum of its proper divisors (146412).

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

65940 is a wasteful number, since it uses less digits than its factorization.

65940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 65940 is about 256.7878501799. The cubic root of 65940 is about 40.4001503115.

The spelling of 65940 in words is "sixty-five thousand, nine hundred forty".