242560 has 32 divisors (see below), whose sum is σ = 581400. Its totient is φ = 96768.

The previous prime is 242551. The next prime is 242591. The reversal of 242560 is 65242.

242560 is digitally balanced in base 3, 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 (32).

It is a congruent number.

It is an unprimeable number.

242560 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 3 ways as a sum of consecutive naturals, for example, 451 + ... + 829.

2²⁴²⁵⁶⁰ is an apocalyptic number.

242560 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 242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290700).

242560 is an abundant number, since it is smaller than the sum of its proper divisors (338840).

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

242560 is an equidigital number, since it uses as much as digits as its factorization.

242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 242560 is about 492.5038070919. The cubic root of 242560 is about 62.3648278667.

It can be divided in two parts, 2425 and 60, that added together give a triangular number (2485 = T₇₀).

The spelling of 242560 in words is "two hundred forty-two thousand, five hundred sixty".