218671140 has 48 divisors (see below), whose sum is σ = 617121792. Its totient is φ = 57851136.

The previous prime is 218671139. The next prime is 218671151. The reversal of 218671140 is 41176812.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 218671098 and 218671107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6729 + ... + 21968.

It is an arithmetic number, because the mean of its divisors is an integer number (12856704).

Almost surely, 2^218671140 is an apocalyptic number.

218671140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218671140 is an abundant number, since it is smaller than the sum of its proper divisors (398450652).

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

218671140 is a wasteful number, since it uses less digits than its factorization.

218671140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28836 (or 28834 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 218671140 is about 14787.5332628535. The cubic root of 218671140 is about 602.4631520769.

The spelling of 218671140 in words is "two hundred eighteen million, six hundred seventy-one thousand, one hundred forty".