245960 has 64 divisors (see below), whose sum is σ = 665280. Its totient is φ = 80640.

The previous prime is 245941. The next prime is 245963. The reversal of 245960 is 69542.

245960 = T₁₃₁ + T₁₃₂ + ... + T₁₅₄.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (245963) by changing a digit.

245960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5699 + ... + 5741.

It is an arithmetic number, because the mean of its divisors is an integer number (10395).

2²⁴⁵⁹⁶⁰ is an apocalyptic number.

245960 is a gapful number since it is divisible by the number (20) 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 245960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

245960 is an abundant number, since it is smaller than the sum of its proper divisors (419320).

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

245960 is a wasteful number, since it uses less digits than its factorization.

245960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 245960 is about 495.9435451742. The cubic root of 245960 is about 62.6548692645.

The spelling of 245960 in words is "two hundred forty-five thousand, nine hundred sixty".