243936896 has 192 divisors, whose sum is σ = 627912000. Its totient is φ = 93671424.

The previous prime is 243936887. The next prime is 243936929. The reversal of 243936896 is 698639342.

It is a super-2 number, since 2×243936896² = 119010418460229632, which contains 22 as substring.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 2740820 + ... + 2740908.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2^243936896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313956000).

243936896 is an abundant number, since it is smaller than the sum of its proper divisors (383975104).

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

243936896 is a wasteful number, since it uses less digits than its factorization.

243936896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 50.

The square root of 243936896 is about 15618.4793113798. The cubic root of 243936896 is about 624.8261028735.

It can be divided in two parts, 243936 and 896, that multiplied together give a square (218566656 = 14784²).

The spelling of 243936896 in words is "two hundred forty-three million, nine hundred thirty-six thousand, eight hundred ninety-six".