242064160 has 96 divisors (see below), whose sum is σ = 637262640. Its totient is φ = 86274048.

The previous prime is 242064143. The next prime is 242064187. The reversal of 242064160 is 61460242.

242064160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 104611984 + 137452176 = 10228^2 + 11724^2 .

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, 58314 + ... + 62326.

Almost surely, 2^242064160 is an apocalyptic number.

242064160 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 242064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318631320).

242064160 is an abundant number, since it is smaller than the sum of its proper divisors (395198480).

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

242064160 is a wasteful number, since it uses less digits than its factorization.

242064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 242064160 is about 15558.4112299425. The cubic root of 242064160 is about 623.2230358253.

The spelling of 242064160 in words is "two hundred forty-two million, sixty-four thousand, one hundred sixty".