243681120 has 144 divisors (see below), whose sum is σ = 836755920. Its totient is φ = 64576512.

The previous prime is 243681101. The next prime is 243681131. The reversal of 243681120 is 21186342.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283251 + ... + 284109.

It is an arithmetic number, because the mean of its divisors is an integer number (5810805).

Almost surely, 2^243681120 is an apocalyptic number.

243681120 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 243681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418377960).

243681120 is an abundant number, since it is smaller than the sum of its proper divisors (593074800).

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

243681120 is a wasteful number, since it uses less digits than its factorization.

243681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 243681120 is about 15610.2889146870. The cubic root of 243681120 is about 624.6076428075.

The spelling of 243681120 in words is "two hundred forty-three million, six hundred eighty-one thousand, one hundred twenty".