218883672 has 48 divisors (see below), whose sum is σ = 677498640. Its totient is φ = 62538048.

The previous prime is 218883661. The next prime is 218883673. The reversal of 218883672 is 276388812.

218883672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218883673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216643 + ... + 217650.

It is an arithmetic number, because the mean of its divisors is an integer number (14114555).

Almost surely, 2^218883672 is an apocalyptic number.

It is an amenable number.

218883672 is an abundant number, since it is smaller than the sum of its proper divisors (458614968).

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

218883672 is a wasteful number, since it uses less digits than its factorization.

218883672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434312 (or 434305 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 218883672 is about 14794.7177059922. The cubic root of 218883672 is about 602.6582719243.

The spelling of 218883672 in words is "two hundred eighteen million, eight hundred eighty-three thousand, six hundred seventy-two".