65960 has 32 divisors (see below), whose sum is σ = 158760. Its totient is φ = 24576.

The previous prime is 65957. The next prime is 65963. The reversal of 65960 is 6956.

It is an interprime number because it is at equal distance from previous prime (65957) and next prime (65963).

It can be written as a sum of positive squares in 4 ways, for example, as 58564 + 7396 = 242^2 + 86^2 .

It is not an unprimeable number, because it can be changed into a prime (65963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 632 + ... + 728.

2⁶⁵⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380).

65960 is an abundant number, since it is smaller than the sum of its proper divisors (92800).

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

65960 is a wasteful number, since it uses less digits than its factorization.

65960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 65960 is about 256.8267898799. The cubic root of 65960 is about 40.4042344351.

The spelling of 65960 in words is "sixty-five thousand, nine hundred sixty".