218276940 has 192 divisors, whose sum is σ = 778982400. Its totient is φ = 44457984.

The previous prime is 218276917. The next prime is 218276941. The reversal of 218276940 is 49672812.

It is not an unprimeable number, because it can be changed into a prime (218276941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134856 + ... + 136464.

It is an arithmetic number, because the mean of its divisors is an integer number (4057200).

Almost surely, 2^218276940 is an apocalyptic number.

218276940 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 218276940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389491200).

218276940 is an abundant number, since it is smaller than the sum of its proper divisors (560705460).

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

218276940 is a wasteful number, since it uses less digits than its factorization.

218276940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 218276940 is about 14774.1984554154. The cubic root of 218276940 is about 602.1009128006.

The spelling of 218276940 in words is "two hundred eighteen million, two hundred seventy-six thousand, nine hundred forty".