218467340 has 192 divisors, whose sum is σ = 625895424. Its totient is φ = 62042112.

The previous prime is 218467303. The next prime is 218467367. The reversal of 218467340 is 43764812.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 218467340.

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, 711467 + ... + 711773.

It is an arithmetic number, because the mean of its divisors is an integer number (3259872).

Almost surely, 2^218467340 is an apocalyptic number.

218467340 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 218467340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312947712).

218467340 is an abundant number, since it is smaller than the sum of its proper divisors (407428084).

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

218467340 is a wasteful number, since it uses less digits than its factorization.

218467340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 218467340 is about 14780.6407168296. The cubic root of 218467340 is about 602.2759300623.

The spelling of 218467340 in words is "two hundred eighteen million, four hundred sixty-seven thousand, three hundred forty".