242160 has 40 divisors (see below), whose sum is σ = 751440. Its totient is φ = 64512.

The previous prime is 242147. The next prime is 242161. The reversal of 242160 is 61242.

242160 = 71² + 72² + ... + 102².

242160 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (18786).

2²⁴²¹⁶⁰ is an apocalyptic number.

242160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242160 is an abundant number, since it is smaller than the sum of its proper divisors (509280).

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

242160 is a wasteful number, since it uses less digits than its factorization.

242160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 242160 is about 492.0975513046. The cubic root of 242160 is about 62.3305275474.

Subtracting from 242160 its product of nonzero digits (96), we obtain a square (242064 = 492²).

The spelling of 242160 in words is "two hundred forty-two thousand, one hundred sixty".