243781632 has 156 divisors (see below), whose sum is σ = 747510660. Its totient is φ = 76283904.

The previous prime is 243781561. The next prime is 243781651. The reversal of 243781632 is 236187342.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 119771136 = 11136^2 + 10944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626494 + ... + 626882.

It is an arithmetic number, because the mean of its divisors is an integer number (4791735).

Almost surely, 2^243781632 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 243781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373755330).

243781632 is an abundant number, since it is smaller than the sum of its proper divisors (503729028).

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

243781632 is a wasteful number, since it uses less digits than its factorization.

243781632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 411 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 243781632 is about 15613.5079978844. The cubic root of 243781632 is about 624.6935090325.

It can be divided in two parts, 243 and 781632, that added together give a triangular number (781875 = T₁₂₅₀).

The spelling of 243781632 in words is "two hundred forty-three million, seven hundred eighty-one thousand, six hundred thirty-two".