218176140 has 192 divisors, whose sum is σ = 776724480. Its totient is φ = 44513280.

The previous prime is 218176139. The next prime is 218176151. The reversal of 218176140 is 41671812.

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 = 218176098 and 218176107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168616 + ... + 169904.

It is an arithmetic number, because the mean of its divisors is an integer number (4045440).

Almost surely, 2^218176140 is an apocalyptic number.

218176140 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 218176140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388362240).

218176140 is an abundant number, since it is smaller than the sum of its proper divisors (558548340).

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

218176140 is a wasteful number, since it uses less digits than its factorization.

218176140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

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

The square root of 218176140 is about 14770.7867089062. The cubic root of 218176140 is about 602.0082153969.

The spelling of 218176140 in words is "two hundred eighteen million, one hundred seventy-six thousand, one hundred forty".