242664 has 16 divisors (see below), whose sum is σ = 606720. Its totient is φ = 80880.

The previous prime is 242659. The next prime is 242677. The reversal of 242664 is 466242.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 10111 = 242664 / (2 + 4 + 2 + 6 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is an unprimeable number.

242664 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5032 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (37920).

2²⁴²⁶⁶⁴ is an apocalyptic number.

242664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242664 is an abundant number, since it is smaller than the sum of its proper divisors (364056).

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

242664 is a wasteful number, since it uses less digits than its factorization.

242664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10116 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 242664 is about 492.6093787171. The cubic root of 242664 is about 62.3737397721.

It can be divided in two parts, 24 and 2664, that multiplied together give a palindrome (63936).

The spelling of 242664 in words is "two hundred forty-two thousand, six hundred sixty-four".