218342832 has 80 divisors (see below), whose sum is σ = 628709760. Its totient is φ = 64889856.

The previous prime is 218342801. The next prime is 218342833. The reversal of 218342832 is 238243812.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 218342793 and 218342802.

It is not an unprimeable number, because it can be changed into a prime (218342833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8463 + ... + 22545.

It is an arithmetic number, because the mean of its divisors is an integer number (7858872).

Almost surely, 2^218342832 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 218342832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314354880).

218342832 is an abundant number, since it is smaller than the sum of its proper divisors (410366928).

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

218342832 is a wasteful number, since it uses less digits than its factorization.

218342832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14130 (or 14124 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 218342832 is about 14776.4282558404. The cubic root of 218342832 is about 602.1614927866.

The spelling of 218342832 in words is "two hundred eighteen million, three hundred forty-two thousand, eight hundred thirty-two".