218840952 has 96 divisors (see below), whose sum is σ = 624314880. Its totient is φ = 63391680.

The previous prime is 218840911. The next prime is 218840953. The reversal of 218840952 is 259048812.

It is a self number, because there is not a number n which added to its sum of digits gives 218840952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218840953) 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, 138873 + ... + 140439.

It is an arithmetic number, because the mean of its divisors is an integer number (6503280).

Almost surely, 2^218840952 is an apocalyptic number.

218840952 is a gapful number since it is divisible by the number (22) 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 218840952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312157440).

218840952 is an abundant number, since it is smaller than the sum of its proper divisors (405473928).

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

218840952 is a wasteful number, since it uses less digits than its factorization.

218840952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 218840952 is about 14793.2738770023. The cubic root of 218840952 is about 602.6190620002.

The spelling of 218840952 in words is "two hundred eighteen million, eight hundred forty thousand, nine hundred fifty-two".