242760 has 96 divisors (see below), whose sum is σ = 884160. Its totient is φ = 52224.

The previous prime is 242747. The next prime is 242773. The reversal of 242760 is 67242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242747) and next prime (242773).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

242760 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 23 ways as a sum of consecutive naturals, for example, 14272 + ... + 14288.

It is an arithmetic number, because the mean of its divisors is an integer number (9210).

2²⁴²⁷⁶⁰ is an apocalyptic number.

242760 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 242760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442080).

242760 is an abundant number, since it is smaller than the sum of its proper divisors (641400).

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

242760 is a wasteful number, since it uses less digits than its factorization.

242760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 242760 is about 492.7068093704. The cubic root of 242760 is about 62.3819638866.

The spelling of 242760 in words is "two hundred forty-two thousand, seven hundred sixty".