218794140 has 72 divisors (see below), whose sum is σ = 672807408. Its totient is φ = 57542400.

The previous prime is 218794127. The next prime is 218794151. The reversal of 218794140 is 41497812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 218794095 and 218794104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4815 + ... + 21465.

Almost surely, 2^218794140 is an apocalyptic number.

218794140 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 218794140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336403704).

218794140 is an abundant number, since it is smaller than the sum of its proper divisors (454013268).

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

218794140 is a wasteful number, since it uses less digits than its factorization.

218794140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16739 (or 16734 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 218794140 is about 14791.6915868335. The cubic root of 218794140 is about 602.5760904342.

The spelling of 218794140 in words is "two hundred eighteen million, seven hundred ninety-four thousand, one hundred forty".