218130720 has 96 divisors (see below), whose sum is σ = 692556480. Its totient is φ = 57707520.

The previous prime is 218130719. The next prime is 218130727. The reversal of 218130720 is 27031812.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×218130720² = 95162022015436800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (218130727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61146 + ... + 64614.

It is an arithmetic number, because the mean of its divisors is an integer number (7214130).

Almost surely, 2^218130720 is an apocalyptic number.

218130720 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 218130720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346278240).

218130720 is an abundant number, since it is smaller than the sum of its proper divisors (474425760).

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

218130720 is a wasteful number, since it uses less digits than its factorization.

218130720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 218130720 is about 14769.2491346040. The cubic root of 218130720 is about 601.9664370570.

The spelling of 218130720 in words is "two hundred eighteen million, one hundred thirty thousand, seven hundred twenty".