243126800 has 120 divisors (see below), whose sum is σ = 689336832. Its totient is φ = 80640000.

The previous prime is 243126797. The next prime is 243126803. The reversal of 243126800 is 8621342.

243126800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243126797) and next prime (243126803).

It is a super-2 number, since 2×243126800² = 118221281756480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243126800.

It is not an unprimeable number, because it can be changed into a prime (243126803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85400 + ... + 88200.

Almost surely, 2^243126800 is an apocalyptic number.

243126800 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 243126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344668416).

243126800 is an abundant number, since it is smaller than the sum of its proper divisors (446210032).

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

243126800 is a wasteful number, since it uses less digits than its factorization.

243126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 243126800 is about 15592.5238495889. The cubic root of 243126800 is about 624.1336690412.

The spelling of 243126800 in words is "two hundred forty-three million, one hundred twenty-six thousand, eight hundred".