242643360 has 96 divisors (see below), whose sum is σ = 776950272. Its totient is φ = 63636480.

The previous prime is 242643347. The next prime is 242643391. The reversal of 242643360 is 63346242.

It is a happy number.

242643360 is digitally balanced in base 2, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25137 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (8093232).

Almost surely, 2^242643360 is an apocalyptic number.

242643360 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 242643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388475136).

242643360 is an abundant number, since it is smaller than the sum of its proper divisors (534306912).

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

242643360 is a wasteful number, since it uses less digits than its factorization.

242643360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 242643360 is about 15577.0138344934. The cubic root of 242643360 is about 623.7197130419.

The spelling of 242643360 in words is "two hundred forty-two million, six hundred forty-three thousand, three hundred sixty".