243164160 has 176 divisors, whose sum is σ = 864652800. Its totient is φ = 64806912.

The previous prime is 243164149. The next prime is 243164167. The reversal of 243164160 is 61461342.

243164160 is a `hidden beast` number, since 243 + 1 + 6 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243164167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137361 + ... + 139119.

It is an arithmetic number, because the mean of its divisors is an integer number (4912800).

Almost surely, 2^243164160 is an apocalyptic number.

243164160 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 243164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432326400).

243164160 is an abundant number, since it is smaller than the sum of its proper divisors (621488640).

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

243164160 is a wasteful number, since it uses less digits than its factorization.

243164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 243164160 is about 15593.7218136018. The cubic root of 243164160 is about 624.1656365024.

The spelling of 243164160 in words is "two hundred forty-three million, one hundred sixty-four thousand, one hundred sixty".