218079000 has 256 divisors, whose sum is σ = 778377600. Its totient is φ = 56448000.

The previous prime is 218078983. The next prime is 218079007. The reversal of 218079000 is 970812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218079007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106902 + ... + 1107098.

Almost surely, 2^218079000 is an apocalyptic number.

218079000 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 218079000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

218079000 is an abundant number, since it is smaller than the sum of its proper divisors (560298600).

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

218079000 is a wasteful number, since it uses less digits than its factorization.

218079000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 218079000 is about 14767.4980954798. The cubic root of 218079000 is about 601.9188567726.

The spelling of 218079000 in words is "two hundred eighteen million, seventy-nine thousand".